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Simplifying 2[w + -1(2 + -1w)] = 6(w + 5) 2[w + (2 * -1 + -1w * -1)] = 6(w + 5) 2[w + (-2 + 1w)] = 6(w + 5) Reorder the terms: 2[-2 + w + 1w] = 6(w + 5) Combine like terms: w + 1w = 2w 2[-2 + 2w] = 6(w + 5) [-2 * 2 + 2w * 2] = 6(w + 5) [-4 + 4w] = 6(w + 5) Reorder the terms: -4 + 4w = 6(5 + w) -4 + 4w = (5 * 6 + w * 6) -4 + 4w = (30 + 6w) Solving -4 + 4w = 30 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -4 + 4w + -6w = 30 + 6w + -6w Combine like terms: 4w + -6w = -2w -4 + -2w = 30 + 6w + -6w Combine like terms: 6w + -6w = 0 -4 + -2w = 30 + 0 -4 + -2w = 30 Add '4' to each side of the equation. -4 + 4 + -2w = 30 + 4 Combine like terms: -4 + 4 = 0 0 + -2w = 30 + 4 -2w = 30 + 4 Combine like terms: 30 + 4 = 34 -2w = 34 Divide each side by '-2'. w = -17 Simplifying w = -17
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