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Simplifying -2(3w + -8) = 13 + -9w Reorder the terms: -2(-8 + 3w) = 13 + -9w (-8 * -2 + 3w * -2) = 13 + -9w (16 + -6w) = 13 + -9w Solving 16 + -6w = 13 + -9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '9w' to each side of the equation. 16 + -6w + 9w = 13 + -9w + 9w Combine like terms: -6w + 9w = 3w 16 + 3w = 13 + -9w + 9w Combine like terms: -9w + 9w = 0 16 + 3w = 13 + 0 16 + 3w = 13 Add '-16' to each side of the equation. 16 + -16 + 3w = 13 + -16 Combine like terms: 16 + -16 = 0 0 + 3w = 13 + -16 3w = 13 + -16 Combine like terms: 13 + -16 = -3 3w = -3 Divide each side by '3'. w = -1 Simplifying w = -1
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