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Simplifying 4 = [9 + -3(5w + 1)] + -5w Reorder the terms: 4 = [9 + -3(1 + 5w)] + -5w 4 = [9 + (1 * -3 + 5w * -3)] + -5w 4 = [9 + (-3 + -15w)] + -5w Combine like terms: 9 + -3 = 6 4 = [6 + -15w] + -5w Remove brackets around [6 + -15w] 4 = 6 + -15w + -5w Combine like terms: -15w + -5w = -20w 4 = 6 + -20w Solving 4 = 6 + -20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '20w' to each side of the equation. 4 + 20w = 6 + -20w + 20w Combine like terms: -20w + 20w = 0 4 + 20w = 6 + 0 4 + 20w = 6 Add '-4' to each side of the equation. 4 + -4 + 20w = 6 + -4 Combine like terms: 4 + -4 = 0 0 + 20w = 6 + -4 20w = 6 + -4 Combine like terms: 6 + -4 = 2 20w = 2 Divide each side by '20'. w = 0.1 Simplifying w = 0.1
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