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Simplifying [w + -1(2w + 20) + 17] = 2(w + 3) Reorder the terms: [w + -1(20 + 2w) + 17] = 2(w + 3) [w + (20 * -1 + 2w * -1) + 17] = 2(w + 3) [w + (-20 + -2w) + 17] = 2(w + 3) Reorder the terms: [-20 + 17 + w + -2w] = 2(w + 3) Combine like terms: -20 + 17 = -3 [-3 + w + -2w] = 2(w + 3) Combine like terms: w + -2w = -1w [-3 + -1w] = 2(w + 3) Remove brackets around [-3 + -1w] -3 + -1w = 2(w + 3) Reorder the terms: -3 + -1w = 2(3 + w) -3 + -1w = (3 * 2 + w * 2) -3 + -1w = (6 + 2w) Solving -3 + -1w = 6 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -3 + -1w + -2w = 6 + 2w + -2w Combine like terms: -1w + -2w = -3w -3 + -3w = 6 + 2w + -2w Combine like terms: 2w + -2w = 0 -3 + -3w = 6 + 0 -3 + -3w = 6 Add '3' to each side of the equation. -3 + 3 + -3w = 6 + 3 Combine like terms: -3 + 3 = 0 0 + -3w = 6 + 3 -3w = 6 + 3 Combine like terms: 6 + 3 = 9 -3w = 9 Divide each side by '-3'. w = -3 Simplifying w = -3
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