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Simplifying 10 + -1(-3w + 1) = -5(w + 3) Reorder the terms: 10 + -1(1 + -3w) = -5(w + 3) 10 + (1 * -1 + -3w * -1) = -5(w + 3) 10 + (-1 + 3w) = -5(w + 3) Combine like terms: 10 + -1 = 9 9 + 3w = -5(w + 3) Reorder the terms: 9 + 3w = -5(3 + w) 9 + 3w = (3 * -5 + w * -5) 9 + 3w = (-15 + -5w) Solving 9 + 3w = -15 + -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. 9 + 3w + 5w = -15 + -5w + 5w Combine like terms: 3w + 5w = 8w 9 + 8w = -15 + -5w + 5w Combine like terms: -5w + 5w = 0 9 + 8w = -15 + 0 9 + 8w = -15 Add '-9' to each side of the equation. 9 + -9 + 8w = -15 + -9 Combine like terms: 9 + -9 = 0 0 + 8w = -15 + -9 8w = -15 + -9 Combine like terms: -15 + -9 = -24 8w = -24 Divide each side by '8'. w = -3 Simplifying w = -3
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