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Simplifying 2[w + -1(3w + 14) + 8] = 2(w + 6) Reorder the terms: 2[w + -1(14 + 3w) + 8] = 2(w + 6) 2[w + (14 * -1 + 3w * -1) + 8] = 2(w + 6) 2[w + (-14 + -3w) + 8] = 2(w + 6) Reorder the terms: 2[-14 + 8 + w + -3w] = 2(w + 6) Combine like terms: -14 + 8 = -6 2[-6 + w + -3w] = 2(w + 6) Combine like terms: w + -3w = -2w 2[-6 + -2w] = 2(w + 6) [-6 * 2 + -2w * 2] = 2(w + 6) [-12 + -4w] = 2(w + 6) Reorder the terms: -12 + -4w = 2(6 + w) -12 + -4w = (6 * 2 + w * 2) -12 + -4w = (12 + 2w) Solving -12 + -4w = 12 + 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. -12 + -4w + -2w = 12 + 2w + -2w Combine like terms: -4w + -2w = -6w -12 + -6w = 12 + 2w + -2w Combine like terms: 2w + -2w = 0 -12 + -6w = 12 + 0 -12 + -6w = 12 Add '12' to each side of the equation. -12 + 12 + -6w = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -6w = 12 + 12 -6w = 12 + 12 Combine like terms: 12 + 12 = 24 -6w = 24 Divide each side by '-6'. w = -4 Simplifying w = -4
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