-3w+48=-7(w-4)

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Solution for -3w+48=-7(w-4) equation:


Simplifying
-3w + 48 = -7(w + -4)

Reorder the terms:
48 + -3w = -7(w + -4)

Reorder the terms:
48 + -3w = -7(-4 + w)
48 + -3w = (-4 * -7 + w * -7)
48 + -3w = (28 + -7w)

Solving
48 + -3w = 28 + -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.
48 + -3w + 7w = 28 + -7w + 7w

Combine like terms: -3w + 7w = 4w
48 + 4w = 28 + -7w + 7w

Combine like terms: -7w + 7w = 0
48 + 4w = 28 + 0
48 + 4w = 28

Add '-48' to each side of the equation.
48 + -48 + 4w = 28 + -48

Combine like terms: 48 + -48 = 0
0 + 4w = 28 + -48
4w = 28 + -48

Combine like terms: 28 + -48 = -20
4w = -20

Divide each side by '4'.
w = -5

Simplifying
w = -5

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