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Simplifying 2(w + -6) + 2(w) = 3(w + 8) Reorder the terms: 2(-6 + w) + 2(w) = 3(w + 8) (-6 * 2 + w * 2) + 2(w) = 3(w + 8) (-12 + 2w) + 2(w) = 3(w + 8) Combine like terms: 2w + 2w = 4w -12 + 4w = 3(w + 8) Reorder the terms: -12 + 4w = 3(8 + w) -12 + 4w = (8 * 3 + w * 3) -12 + 4w = (24 + 3w) Solving -12 + 4w = 24 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. -12 + 4w + -3w = 24 + 3w + -3w Combine like terms: 4w + -3w = 1w -12 + 1w = 24 + 3w + -3w Combine like terms: 3w + -3w = 0 -12 + 1w = 24 + 0 -12 + 1w = 24 Add '12' to each side of the equation. -12 + 12 + 1w = 24 + 12 Combine like terms: -12 + 12 = 0 0 + 1w = 24 + 12 1w = 24 + 12 Combine like terms: 24 + 12 = 36 1w = 36 Divide each side by '1'. w = 36 Simplifying w = 36
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