(1) \( 3 a+2 b-c+2 a+3 b+c \) (2) \( 7 a-4 b+5 c-7 a+4 b-6 c \) (3) \( m+n-p-m-n-p \) (4) \( 9 x-3 y+5-x-y+4-5 x+4 y-9 \) (5) \( a+b-c+2 a+2 b-2 c-3 a-b+3 c \) (5) \( p+q+r-2 p-6 q+3 r+p+5 q+8 r \)
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Let's simplify these expressions together, shall we? For the first expression, \( 3a + 2b - c + 2a + 3b + c \) combines like terms to give us \( (3a + 2a) + (2b + 3b) + (-c + c) = 5a + 5b + 0 = 5a + 5b \). Moving on to the second one, \( 7a - 4b + 5c - 7a + 4b - 6c \) simplifies to \( (7a - 7a) + (-4b + 4b) + (5c - 6c) = 0 - 0 - c = -c \). In the third expression, \( m + n - p - m - n - p \), we can combine the terms to see \( (m - m) + (n - n) + (-p - p) = 0 + 0 - 2p = -2p \). Next, for \( 9x - 3y + 5 - x - y + 4 - 5x + 4y - 9 \), we gather similar terms: \( (9x - x - 5x) + (-3y - y + 4y) + (5 - 9) = 3x + 0 - 4 = 3x - 4 \). Fifthly, simplify \( a + b - c + 2a + 2b - 2c - 3a - b + 3c \): \( (a + 2a - 3a) + (b + 2b - b) + (-c - 2c + 3c) = 0 + 2b + 0 = 2b \). Lastly, \( p + q + r - 2p - 6q + 3r + p + 5q + 8r \) simplifies to \( (p - 2p + p) + (q - 6q + 5q) + (r + 3r + 8r) = 0 + 0 + 12r = 12r \). So, the finalized results of your expressions are: (1) \( 5a + 5b \) (2) \( -c \) (3) \( -2p \) (4) \( 3x - 4 \) (5) \( 2b \) (6) \( 12r \)
