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Simplifying 2[w + -1(4w + 15) + 13] = 2(w + 2) Reorder the terms: 2[w + -1(15 + 4w) + 13] = 2(w + 2) 2[w + (15 * -1 + 4w * -1) + 13] = 2(w + 2) 2[w + (-15 + -4w) + 13] = 2(w + 2) Reorder the terms: 2[-15 + 13 + w + -4w] = 2(w + 2) Combine like terms: -15 + 13 = -2 2[-2 + w + -4w] = 2(w + 2) Combine like terms: w + -4w = -3w 2[-2 + -3w] = 2(w + 2) [-2 * 2 + -3w * 2] = 2(w + 2) [-4 + -6w] = 2(w + 2) Reorder the terms: -4 + -6w = 2(2 + w) -4 + -6w = (2 * 2 + w * 2) -4 + -6w = (4 + 2w) Solving -4 + -6w = 4 + 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. -4 + -6w + -2w = 4 + 2w + -2w Combine like terms: -6w + -2w = -8w -4 + -8w = 4 + 2w + -2w Combine like terms: 2w + -2w = 0 -4 + -8w = 4 + 0 -4 + -8w = 4 Add '4' to each side of the equation. -4 + 4 + -8w = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -8w = 4 + 4 -8w = 4 + 4 Combine like terms: 4 + 4 = 8 -8w = 8 Divide each side by '-8'. w = -1 Simplifying w = -1
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