-7(w-9)=3w-37

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Solution for -7(w-9)=3w-37 equation:


Simplifying
-7(w + -9) = 3w + -37

Reorder the terms:
-7(-9 + w) = 3w + -37
(-9 * -7 + w * -7) = 3w + -37
(63 + -7w) = 3w + -37

Reorder the terms:
63 + -7w = -37 + 3w

Solving
63 + -7w = -37 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
63 + -7w + -3w = -37 + 3w + -3w

Combine like terms: -7w + -3w = -10w
63 + -10w = -37 + 3w + -3w

Combine like terms: 3w + -3w = 0
63 + -10w = -37 + 0
63 + -10w = -37

Add '-63' to each side of the equation.
63 + -63 + -10w = -37 + -63

Combine like terms: 63 + -63 = 0
0 + -10w = -37 + -63
-10w = -37 + -63

Combine like terms: -37 + -63 = -100
-10w = -100

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

Simplifying
w = 10

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