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Simplifying -8w + 12 = 7(w + 6) Reorder the terms: 12 + -8w = 7(w + 6) Reorder the terms: 12 + -8w = 7(6 + w) 12 + -8w = (6 * 7 + w * 7) 12 + -8w = (42 + 7w) Solving 12 + -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. 12 + -8w + -7w = 42 + 7w + -7w Combine like terms: -8w + -7w = -15w 12 + -15w = 42 + 7w + -7w Combine like terms: 7w + -7w = 0 12 + -15w = 42 + 0 12 + -15w = 42 Add '-12' to each side of the equation. 12 + -12 + -15w = 42 + -12 Combine like terms: 12 + -12 = 0 0 + -15w = 42 + -12 -15w = 42 + -12 Combine like terms: 42 + -12 = 30 -15w = 30 Divide each side by '-15'. w = -2 Simplifying w = -2
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