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Simplifying -3(3w + -8) + w = 7(w + 6) Reorder the terms: -3(-8 + 3w) + w = 7(w + 6) (-8 * -3 + 3w * -3) + w = 7(w + 6) (24 + -9w) + w = 7(w + 6) Combine like terms: -9w + w = -8w 24 + -8w = 7(w + 6) Reorder the terms: 24 + -8w = 7(6 + w) 24 + -8w = (6 * 7 + w * 7) 24 + -8w = (42 + 7w) Solving 24 + -8w = 42 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 24 + -8w + -7w = 42 + 7w + -7w Combine like terms: -8w + -7w = -15w 24 + -15w = 42 + 7w + -7w Combine like terms: 7w + -7w = 0 24 + -15w = 42 + 0 24 + -15w = 42 Add '-24' to each side of the equation. 24 + -24 + -15w = 42 + -24 Combine like terms: 24 + -24 = 0 0 + -15w = 42 + -24 -15w = 42 + -24 Combine like terms: 42 + -24 = 18 -15w = 18 Divide each side by '-15'. w = -1.2 Simplifying w = -1.2
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