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Simplifying 9 + -5w = -3(-1w + 5) + 4(5w + 1) Reorder the terms: 9 + -5w = -3(5 + -1w) + 4(5w + 1) 9 + -5w = (5 * -3 + -1w * -3) + 4(5w + 1) 9 + -5w = (-15 + 3w) + 4(5w + 1) Reorder the terms: 9 + -5w = -15 + 3w + 4(1 + 5w) 9 + -5w = -15 + 3w + (1 * 4 + 5w * 4) 9 + -5w = -15 + 3w + (4 + 20w) Reorder the terms: 9 + -5w = -15 + 4 + 3w + 20w Combine like terms: -15 + 4 = -11 9 + -5w = -11 + 3w + 20w Combine like terms: 3w + 20w = 23w 9 + -5w = -11 + 23w Solving 9 + -5w = -11 + 23w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-23w' to each side of the equation. 9 + -5w + -23w = -11 + 23w + -23w Combine like terms: -5w + -23w = -28w 9 + -28w = -11 + 23w + -23w Combine like terms: 23w + -23w = 0 9 + -28w = -11 + 0 9 + -28w = -11 Add '-9' to each side of the equation. 9 + -9 + -28w = -11 + -9 Combine like terms: 9 + -9 = 0 0 + -28w = -11 + -9 -28w = -11 + -9 Combine like terms: -11 + -9 = -20 -28w = -20 Divide each side by '-28'. w = 0.7142857143 Simplifying w = 0.7142857143
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