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

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


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

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

Reorder the terms:
-1 + -4w = -7(-2 + w)
-1 + -4w = (-2 * -7 + w * -7)
-1 + -4w = (14 + -7w)

Solving
-1 + -4w = 14 + -7w

Solving for variable 'w'.

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

Add '7w' to each side of the equation.
-1 + -4w + 7w = 14 + -7w + 7w

Combine like terms: -4w + 7w = 3w
-1 + 3w = 14 + -7w + 7w

Combine like terms: -7w + 7w = 0
-1 + 3w = 14 + 0
-1 + 3w = 14

Add '1' to each side of the equation.
-1 + 1 + 3w = 14 + 1

Combine like terms: -1 + 1 = 0
0 + 3w = 14 + 1
3w = 14 + 1

Combine like terms: 14 + 1 = 15
3w = 15

Divide each side by '3'.
w = 5

Simplifying
w = 5

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