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Simplifying -1 + -5[2 + 3(w + -2)] = 5(w + 4) Reorder the terms: -1 + -5[2 + 3(-2 + w)] = 5(w + 4) -1 + -5[2 + (-2 * 3 + w * 3)] = 5(w + 4) -1 + -5[2 + (-6 + 3w)] = 5(w + 4) Combine like terms: 2 + -6 = -4 -1 + -5[-4 + 3w] = 5(w + 4) -1 + [-4 * -5 + 3w * -5] = 5(w + 4) -1 + [20 + -15w] = 5(w + 4) Combine like terms: -1 + 20 = 19 19 + -15w = 5(w + 4) Reorder the terms: 19 + -15w = 5(4 + w) 19 + -15w = (4 * 5 + w * 5) 19 + -15w = (20 + 5w) Solving 19 + -15w = 20 + 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. 19 + -15w + -5w = 20 + 5w + -5w Combine like terms: -15w + -5w = -20w 19 + -20w = 20 + 5w + -5w Combine like terms: 5w + -5w = 0 19 + -20w = 20 + 0 19 + -20w = 20 Add '-19' to each side of the equation. 19 + -19 + -20w = 20 + -19 Combine like terms: 19 + -19 = 0 0 + -20w = 20 + -19 -20w = 20 + -19 Combine like terms: 20 + -19 = 1 -20w = 1 Divide each side by '-20'. w = -0.05 Simplifying w = -0.05
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