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Simplifying 2[w + -1(2w + 10) * 6] = 2(w + 4) Reorder the terms: 2[w + -1(10 + 2w) * 6] = 2(w + 4) Reorder the terms for easier multiplication: 2[w + -1 * 6(10 + 2w)] = 2(w + 4) Multiply -1 * 6 2[w + -6(10 + 2w)] = 2(w + 4) 2[w + (10 * -6 + 2w * -6)] = 2(w + 4) 2[w + (-60 + -12w)] = 2(w + 4) Reorder the terms: 2[-60 + w + -12w] = 2(w + 4) Combine like terms: w + -12w = -11w 2[-60 + -11w] = 2(w + 4) [-60 * 2 + -11w * 2] = 2(w + 4) [-120 + -22w] = 2(w + 4) Reorder the terms: -120 + -22w = 2(4 + w) -120 + -22w = (4 * 2 + w * 2) -120 + -22w = (8 + 2w) Solving -120 + -22w = 8 + 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. -120 + -22w + -2w = 8 + 2w + -2w Combine like terms: -22w + -2w = -24w -120 + -24w = 8 + 2w + -2w Combine like terms: 2w + -2w = 0 -120 + -24w = 8 + 0 -120 + -24w = 8 Add '120' to each side of the equation. -120 + 120 + -24w = 8 + 120 Combine like terms: -120 + 120 = 0 0 + -24w = 8 + 120 -24w = 8 + 120 Combine like terms: 8 + 120 = 128 -24w = 128 Divide each side by '-24'. w = -5.333333333 Simplifying w = -5.333333333
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