7w+49=-6(w-6)

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Solution for 7w+49=-6(w-6) equation:


Simplifying
7w + 49 = -6(w + -6)

Reorder the terms:
49 + 7w = -6(w + -6)

Reorder the terms:
49 + 7w = -6(-6 + w)
49 + 7w = (-6 * -6 + w * -6)
49 + 7w = (36 + -6w)

Solving
49 + 7w = 36 + -6w

Solving for variable 'w'.

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

Add '6w' to each side of the equation.
49 + 7w + 6w = 36 + -6w + 6w

Combine like terms: 7w + 6w = 13w
49 + 13w = 36 + -6w + 6w

Combine like terms: -6w + 6w = 0
49 + 13w = 36 + 0
49 + 13w = 36

Add '-49' to each side of the equation.
49 + -49 + 13w = 36 + -49

Combine like terms: 49 + -49 = 0
0 + 13w = 36 + -49
13w = 36 + -49

Combine like terms: 36 + -49 = -13
13w = -13

Divide each side by '13'.
w = -1

Simplifying
w = -1

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