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Simplifying -6w + -42 = 9(w + -3) Reorder the terms: -42 + -6w = 9(w + -3) Reorder the terms: -42 + -6w = 9(-3 + w) -42 + -6w = (-3 * 9 + w * 9) -42 + -6w = (-27 + 9w) Solving -42 + -6w = -27 + 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. -42 + -6w + -9w = -27 + 9w + -9w Combine like terms: -6w + -9w = -15w -42 + -15w = -27 + 9w + -9w Combine like terms: 9w + -9w = 0 -42 + -15w = -27 + 0 -42 + -15w = -27 Add '42' to each side of the equation. -42 + 42 + -15w = -27 + 42 Combine like terms: -42 + 42 = 0 0 + -15w = -27 + 42 -15w = -27 + 42 Combine like terms: -27 + 42 = 15 -15w = 15 Divide each side by '-15'. w = -1 Simplifying w = -1
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