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Simplifying 3w + -42 = -9(w + -2) Reorder the terms: -42 + 3w = -9(w + -2) Reorder the terms: -42 + 3w = -9(-2 + w) -42 + 3w = (-2 * -9 + w * -9) -42 + 3w = (18 + -9w) Solving -42 + 3w = 18 + -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 + 3w + 9w = 18 + -9w + 9w Combine like terms: 3w + 9w = 12w -42 + 12w = 18 + -9w + 9w Combine like terms: -9w + 9w = 0 -42 + 12w = 18 + 0 -42 + 12w = 18 Add '42' to each side of the equation. -42 + 42 + 12w = 18 + 42 Combine like terms: -42 + 42 = 0 0 + 12w = 18 + 42 12w = 18 + 42 Combine like terms: 18 + 42 = 60 12w = 60 Divide each side by '12'. w = 5 Simplifying w = 5
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