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Simplify the expression. \[ \begin{array}{l}12+(-4)-\frac{2}{7} j-\frac{6}{7} j+5 \\ 12+(-4)-\frac{2}{7} j-\frac{6}{7} j+5=\square \\ \text { (Simplify your answer. Use integers or fractions for any numbers in the expression.) }\end{array} \]

Ask by Carroll Lynch. in the United States
Feb 26,2025

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Answer

13 - (8/7) j

Solution

To simplify the expression   12 + (-4) - (2/7) j - (6/7) j + 5, first combine the constant terms:   12 - 4 + 5 = 13. Next, combine the j terms:   -(2/7) j - (6/7) j = -(2/7 + 6/7) j = -(8/7) j. Thus, the simplified expression is:   13 - (8/7) j.

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Mind Expander

To simplify the expression \( 12 + (-4) - \frac{2}{7} j - \frac{6}{7} j + 5 \), we can start by combining the integer terms and then the terms involving \( j \): 1. Combine the integer terms: \[ 12 - 4 + 5 = 8 + 5 = 13 \] 2. Combine the \( j \) terms: \[ -\frac{2}{7} j - \frac{6}{7} j = -\left(\frac{2}{7} + \frac{6}{7}\right) j = -\frac{8}{7} j \] Now, putting it all together, we have: \[ 13 - \frac{8}{7} j \] Thus, the simplified expression is: \[ 13 - \frac{8}{7} j = \square \]

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