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Simplifying -2(3w + -5) + -9 = 4 + -3(5w + 1) Reorder the terms: -2(-5 + 3w) + -9 = 4 + -3(5w + 1) (-5 * -2 + 3w * -2) + -9 = 4 + -3(5w + 1) (10 + -6w) + -9 = 4 + -3(5w + 1) Reorder the terms: 10 + -9 + -6w = 4 + -3(5w + 1) Combine like terms: 10 + -9 = 1 1 + -6w = 4 + -3(5w + 1) Reorder the terms: 1 + -6w = 4 + -3(1 + 5w) 1 + -6w = 4 + (1 * -3 + 5w * -3) 1 + -6w = 4 + (-3 + -15w) Combine like terms: 4 + -3 = 1 1 + -6w = 1 + -15w Add '-1' to each side of the equation. 1 + -1 + -6w = 1 + -1 + -15w Combine like terms: 1 + -1 = 0 0 + -6w = 1 + -1 + -15w -6w = 1 + -1 + -15w Combine like terms: 1 + -1 = 0 -6w = 0 + -15w -6w = -15w Solving -6w = -15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '15w' to each side of the equation. -6w + 15w = -15w + 15w Combine like terms: -6w + 15w = 9w 9w = -15w + 15w Combine like terms: -15w + 15w = 0 9w = 0 Divide each side by '9'. w = 0 Simplifying w = 0
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