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Simplifying 2[w + -1(4w + 20) + 10] = 2(w + 10) Reorder the terms: 2[w + -1(20 + 4w) + 10] = 2(w + 10) 2[w + (20 * -1 + 4w * -1) + 10] = 2(w + 10) 2[w + (-20 + -4w) + 10] = 2(w + 10) Reorder the terms: 2[-20 + 10 + w + -4w] = 2(w + 10) Combine like terms: -20 + 10 = -10 2[-10 + w + -4w] = 2(w + 10) Combine like terms: w + -4w = -3w 2[-10 + -3w] = 2(w + 10) [-10 * 2 + -3w * 2] = 2(w + 10) [-20 + -6w] = 2(w + 10) Reorder the terms: -20 + -6w = 2(10 + w) -20 + -6w = (10 * 2 + w * 2) -20 + -6w = (20 + 2w) Solving -20 + -6w = 20 + 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. -20 + -6w + -2w = 20 + 2w + -2w Combine like terms: -6w + -2w = -8w -20 + -8w = 20 + 2w + -2w Combine like terms: 2w + -2w = 0 -20 + -8w = 20 + 0 -20 + -8w = 20 Add '20' to each side of the equation. -20 + 20 + -8w = 20 + 20 Combine like terms: -20 + 20 = 0 0 + -8w = 20 + 20 -8w = 20 + 20 Combine like terms: 20 + 20 = 40 -8w = 40 Divide each side by '-8'. w = -5 Simplifying w = -5
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