10+5(3w-2)=2w-13

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Solution for 10+5(3w-2)=2w-13 equation:


Simplifying
10 + 5(3w + -2) = 2w + -13

Reorder the terms:
10 + 5(-2 + 3w) = 2w + -13
10 + (-2 * 5 + 3w * 5) = 2w + -13
10 + (-10 + 15w) = 2w + -13

Combine like terms: 10 + -10 = 0
0 + 15w = 2w + -13
15w = 2w + -13

Reorder the terms:
15w = -13 + 2w

Solving
15w = -13 + 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.
15w + -2w = -13 + 2w + -2w

Combine like terms: 15w + -2w = 13w
13w = -13 + 2w + -2w

Combine like terms: 2w + -2w = 0
13w = -13 + 0
13w = -13

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

Simplifying
w = -1

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