4(w-1)=6w+2-2(-7w-2)

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Solution for 4(w-1)=6w+2-2(-7w-2) equation:


Simplifying
4(w + -1) = 6w + 2 + -2(-7w + -2)

Reorder the terms:
4(-1 + w) = 6w + 2 + -2(-7w + -2)
(-1 * 4 + w * 4) = 6w + 2 + -2(-7w + -2)
(-4 + 4w) = 6w + 2 + -2(-7w + -2)

Reorder the terms:
-4 + 4w = 6w + 2 + -2(-2 + -7w)
-4 + 4w = 6w + 2 + (-2 * -2 + -7w * -2)
-4 + 4w = 6w + 2 + (4 + 14w)

Reorder the terms:
-4 + 4w = 2 + 4 + 6w + 14w

Combine like terms: 2 + 4 = 6
-4 + 4w = 6 + 6w + 14w

Combine like terms: 6w + 14w = 20w
-4 + 4w = 6 + 20w

Solving
-4 + 4w = 6 + 20w

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-20w' to each side of the equation.
-4 + 4w + -20w = 6 + 20w + -20w

Combine like terms: 4w + -20w = -16w
-4 + -16w = 6 + 20w + -20w

Combine like terms: 20w + -20w = 0
-4 + -16w = 6 + 0
-4 + -16w = 6

Add '4' to each side of the equation.
-4 + 4 + -16w = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -16w = 6 + 4
-16w = 6 + 4

Combine like terms: 6 + 4 = 10
-16w = 10

Divide each side by '-16'.
w = -0.625

Simplifying
w = -0.625

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