Resolver para $$ w $$ $$ -2 w+\frac{7}{5}=-\frac{2}{3} w-\frac{3}{5} $$ Simplificar la respuesta al máximo. $$ w=\square $$

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Solve the equation $$ -2w+\frac{7}{5}=-\frac{2}{3}w-\frac{3}{5} $$.
Solve the equation by following steps:
- step0: Solve for $$w$$:
  $$-2w+\frac{7}{5}=-\frac{2}{3}w-\frac{3}{5}$$
- step1: Multiply both sides of the equation by LCM:
  $$\left(-2w+\frac{7}{5}ight)	imes 15=\left(-\frac{2}{3}w-\frac{3}{5}ight)	imes 15$$
- step2: Calculate:
  $$-30w+21=\left(-\frac{2}{3}w-\frac{3}{5}ight)	imes 15$$
- step3: Calculate:
  $$-30w+21=-10w-9$$
- step4: Move the expression to the left side:
  $$-30w+10w=-9-21$$
- step5: Add and subtract:
  $$-20w=-9-21$$
- step6: Add and subtract:
  $$-20w=-30$$
- step7: Change the signs:
  $$20w=30$$
- step8: Divide both sides:
  $$\frac{20w}{20}=\frac{30}{20}$$
- step9: Divide the numbers:
  $$w=\frac{3}{2}$$
La solución para $$ w $$ en la ecuación dada es $$ w = \frac{3}{2} $$ o $$ w = 1.5 $$.
$$ w = \frac{3}{2} $$

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