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Simplifying -6w + -12 = 9(w + 7) Reorder the terms: -12 + -6w = 9(w + 7) Reorder the terms: -12 + -6w = 9(7 + w) -12 + -6w = (7 * 9 + w * 9) -12 + -6w = (63 + 9w) Solving -12 + -6w = 63 + 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. -12 + -6w + -9w = 63 + 9w + -9w Combine like terms: -6w + -9w = -15w -12 + -15w = 63 + 9w + -9w Combine like terms: 9w + -9w = 0 -12 + -15w = 63 + 0 -12 + -15w = 63 Add '12' to each side of the equation. -12 + 12 + -15w = 63 + 12 Combine like terms: -12 + 12 = 0 0 + -15w = 63 + 12 -15w = 63 + 12 Combine like terms: 63 + 12 = 75 -15w = 75 Divide each side by '-15'. w = -5 Simplifying w = -5
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