4(w-1)-7=-3(-6w+5)-4w

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Solution for 4(w-1)-7=-3(-6w+5)-4w equation:


Simplifying
4(w + -1) + -7 = -3(-6w + 5) + -4w

Reorder the terms:
4(-1 + w) + -7 = -3(-6w + 5) + -4w
(-1 * 4 + w * 4) + -7 = -3(-6w + 5) + -4w
(-4 + 4w) + -7 = -3(-6w + 5) + -4w

Reorder the terms:
-4 + -7 + 4w = -3(-6w + 5) + -4w

Combine like terms: -4 + -7 = -11
-11 + 4w = -3(-6w + 5) + -4w

Reorder the terms:
-11 + 4w = -3(5 + -6w) + -4w
-11 + 4w = (5 * -3 + -6w * -3) + -4w
-11 + 4w = (-15 + 18w) + -4w

Combine like terms: 18w + -4w = 14w
-11 + 4w = -15 + 14w

Solving
-11 + 4w = -15 + 14w

Solving for variable 'w'.

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

Add '-14w' to each side of the equation.
-11 + 4w + -14w = -15 + 14w + -14w

Combine like terms: 4w + -14w = -10w
-11 + -10w = -15 + 14w + -14w

Combine like terms: 14w + -14w = 0
-11 + -10w = -15 + 0
-11 + -10w = -15

Add '11' to each side of the equation.
-11 + 11 + -10w = -15 + 11

Combine like terms: -11 + 11 = 0
0 + -10w = -15 + 11
-10w = -15 + 11

Combine like terms: -15 + 11 = -4
-10w = -4

Divide each side by '-10'.
w = 0.4

Simplifying
w = 0.4

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