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Simplifying -6w + 42 = -9(w + -4) Reorder the terms: 42 + -6w = -9(w + -4) Reorder the terms: 42 + -6w = -9(-4 + w) 42 + -6w = (-4 * -9 + w * -9) 42 + -6w = (36 + -9w) Solving 42 + -6w = 36 + -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 = 36 + -9w + 9w Combine like terms: -6w + 9w = 3w 42 + 3w = 36 + -9w + 9w Combine like terms: -9w + 9w = 0 42 + 3w = 36 + 0 42 + 3w = 36 Add '-42' to each side of the equation. 42 + -42 + 3w = 36 + -42 Combine like terms: 42 + -42 = 0 0 + 3w = 36 + -42 3w = 36 + -42 Combine like terms: 36 + -42 = -6 3w = -6 Divide each side by '3'. w = -2 Simplifying w = -2
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