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Simplifying -56 = -2(5w + 8) + -3w + 12 Reorder the terms: -56 = -2(8 + 5w) + -3w + 12 -56 = (8 * -2 + 5w * -2) + -3w + 12 -56 = (-16 + -10w) + -3w + 12 Reorder the terms: -56 = -16 + 12 + -10w + -3w Combine like terms: -16 + 12 = -4 -56 = -4 + -10w + -3w Combine like terms: -10w + -3w = -13w -56 = -4 + -13w Solving -56 = -4 + -13w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '13w' to each side of the equation. -56 + 13w = -4 + -13w + 13w Combine like terms: -13w + 13w = 0 -56 + 13w = -4 + 0 -56 + 13w = -4 Add '56' to each side of the equation. -56 + 56 + 13w = -4 + 56 Combine like terms: -56 + 56 = 0 0 + 13w = -4 + 56 13w = -4 + 56 Combine like terms: -4 + 56 = 52 13w = 52 Divide each side by '13'. w = 4 Simplifying w = 4
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