7(w+5)=-3w-45

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Solution for 7(w+5)=-3w-45 equation:


Simplifying
7(w + 5) = -3w + -45

Reorder the terms:
7(5 + w) = -3w + -45
(5 * 7 + w * 7) = -3w + -45
(35 + 7w) = -3w + -45

Reorder the terms:
35 + 7w = -45 + -3w

Solving
35 + 7w = -45 + -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.
35 + 7w + 3w = -45 + -3w + 3w

Combine like terms: 7w + 3w = 10w
35 + 10w = -45 + -3w + 3w

Combine like terms: -3w + 3w = 0
35 + 10w = -45 + 0
35 + 10w = -45

Add '-35' to each side of the equation.
35 + -35 + 10w = -45 + -35

Combine like terms: 35 + -35 = 0
0 + 10w = -45 + -35
10w = -45 + -35

Combine like terms: -45 + -35 = -80
10w = -80

Divide each side by '10'.
w = -8

Simplifying
w = -8

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