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Simplifying 12(w + -1) + -8 = -3w + -5 Reorder the terms: 12(-1 + w) + -8 = -3w + -5 (-1 * 12 + w * 12) + -8 = -3w + -5 (-12 + 12w) + -8 = -3w + -5 Reorder the terms: -12 + -8 + 12w = -3w + -5 Combine like terms: -12 + -8 = -20 -20 + 12w = -3w + -5 Reorder the terms: -20 + 12w = -5 + -3w Solving -20 + 12w = -5 + -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. -20 + 12w + 3w = -5 + -3w + 3w Combine like terms: 12w + 3w = 15w -20 + 15w = -5 + -3w + 3w Combine like terms: -3w + 3w = 0 -20 + 15w = -5 + 0 -20 + 15w = -5 Add '20' to each side of the equation. -20 + 20 + 15w = -5 + 20 Combine like terms: -20 + 20 = 0 0 + 15w = -5 + 20 15w = -5 + 20 Combine like terms: -5 + 20 = 15 15w = 15 Divide each side by '15'. w = 1 Simplifying w = 1
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