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Simplifying -5(-3w + -12) = 17w Reorder the terms: -5(-12 + -3w) = 17w (-12 * -5 + -3w * -5) = 17w (60 + 15w) = 17w Solving 60 + 15w = 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. 60 + 15w + -17w = 17w + -17w Combine like terms: 15w + -17w = -2w 60 + -2w = 17w + -17w Combine like terms: 17w + -17w = 0 60 + -2w = 0 Add '-60' to each side of the equation. 60 + -60 + -2w = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -2w = 0 + -60 -2w = 0 + -60 Combine like terms: 0 + -60 = -60 -2w = -60 Divide each side by '-2'. w = 30 Simplifying w = 30
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