6(w+3)+2(w-4)+10=-4

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Solution for 6(w+3)+2(w-4)+10=-4 equation: 


Simplifying
6(w + 3) + 2(w + -4) + 10 = -4

Reorder the terms:
6(3 + w) + 2(w + -4) + 10 = -4
(3 * 6 + w * 6) + 2(w + -4) + 10 = -4
(18 + 6w) + 2(w + -4) + 10 = -4

Reorder the terms:
18 + 6w + 2(-4 + w) + 10 = -4
18 + 6w + (-4 * 2 + w * 2) + 10 = -4
18 + 6w + (-8 + 2w) + 10 = -4

Reorder the terms:
18 + -8 + 10 + 6w + 2w = -4

Combine like terms: 18 + -8 = 10
10 + 10 + 6w + 2w = -4

Combine like terms: 10 + 10 = 20
20 + 6w + 2w = -4

Combine like terms: 6w + 2w = 8w
20 + 8w = -4

Solving
20 + 8w = -4

Solving for variable 'w'.

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

Add '-20' to each side of the equation.
20 + -20 + 8w = -4 + -20

Combine like terms: 20 + -20 = 0
0 + 8w = -4 + -20
8w = -4 + -20

Combine like terms: -4 + -20 = -24
8w = -24

Divide each side by '8'.
w = -3

Simplifying
w = -3

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