5w+3=-2(w+9)

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Solution for 5w+3=-2(w+9) equation:


Simplifying
5w + 3 = -2(w + 9)

Reorder the terms:
3 + 5w = -2(w + 9)

Reorder the terms:
3 + 5w = -2(9 + w)
3 + 5w = (9 * -2 + w * -2)
3 + 5w = (-18 + -2w)

Solving
3 + 5w = -18 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
3 + 5w + 2w = -18 + -2w + 2w

Combine like terms: 5w + 2w = 7w
3 + 7w = -18 + -2w + 2w

Combine like terms: -2w + 2w = 0
3 + 7w = -18 + 0
3 + 7w = -18

Add '-3' to each side of the equation.
3 + -3 + 7w = -18 + -3

Combine like terms: 3 + -3 = 0
0 + 7w = -18 + -3
7w = -18 + -3

Combine like terms: -18 + -3 = -21
7w = -21

Divide each side by '7'.
w = -3

Simplifying
w = -3

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