4(w-1)-8=-6(-4w+1)-4w

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Solution for 4(w-1)-8=-6(-4w+1)-4w equation:


Simplifying
4(w + -1) + -8 = -6(-4w + 1) + -4w

Reorder the terms:
4(-1 + w) + -8 = -6(-4w + 1) + -4w
(-1 * 4 + w * 4) + -8 = -6(-4w + 1) + -4w
(-4 + 4w) + -8 = -6(-4w + 1) + -4w

Reorder the terms:
-4 + -8 + 4w = -6(-4w + 1) + -4w

Combine like terms: -4 + -8 = -12
-12 + 4w = -6(-4w + 1) + -4w

Reorder the terms:
-12 + 4w = -6(1 + -4w) + -4w
-12 + 4w = (1 * -6 + -4w * -6) + -4w
-12 + 4w = (-6 + 24w) + -4w

Combine like terms: 24w + -4w = 20w
-12 + 4w = -6 + 20w

Solving
-12 + 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.
-12 + 4w + -20w = -6 + 20w + -20w

Combine like terms: 4w + -20w = -16w
-12 + -16w = -6 + 20w + -20w

Combine like terms: 20w + -20w = 0
-12 + -16w = -6 + 0
-12 + -16w = -6

Add '12' to each side of the equation.
-12 + 12 + -16w = -6 + 12

Combine like terms: -12 + 12 = 0
0 + -16w = -6 + 12
-16w = -6 + 12

Combine like terms: -6 + 12 = 6
-16w = 6

Divide each side by '-16'.
w = -0.375

Simplifying
w = -0.375

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