Resolver para $$ w $$. $$ -4 w-\frac{1}{5}=\frac{7}{5} w+\frac{2}{3} $$ Simplificar la respuesta al máximo. $$ w= $$ Ø.

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Solve the equation $$ -4w-\frac{1}{5}=\frac{7}{5}w+\frac{2}{3} $$.
Solve the equation by following steps:
- step0: Solve for $$w$$:
  $$-4w-\frac{1}{5}=\frac{7}{5}w+\frac{2}{3}$$
- step1: Multiply both sides of the equation by LCM:
  $$\left(-4w-\frac{1}{5}ight)	imes 15=\left(\frac{7}{5}w+\frac{2}{3}ight)	imes 15$$
- step2: Calculate:
  $$-60w-3=\left(\frac{7}{5}w+\frac{2}{3}ight)	imes 15$$
- step3: Calculate:
  $$-60w-3=21w+10$$
- step4: Move the expression to the left side:
  $$-60w-21w=10+3$$
- step5: Add and subtract:
  $$-81w=10+3$$
- step6: Add and subtract:
  $$-81w=13$$
- step7: Change the signs:
  $$81w=-13$$
- step8: Divide both sides:
  $$\frac{81w}{81}=\frac{-13}{81}$$
- step9: Divide the numbers:
  $$w=-\frac{13}{81}$$
La solución para $$ w $$ es $$ w = -\frac{13}{81} $$.
$$ w = -\frac{13}{81} $$

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