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Simplifying 20 = 3(w + -12) + -1w Reorder the terms: 20 = 3(-12 + w) + -1w 20 = (-12 * 3 + w * 3) + -1w 20 = (-36 + 3w) + -1w Combine like terms: 3w + -1w = 2w 20 = -36 + 2w Solving 20 = -36 + 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. 20 + -2w = -36 + 2w + -2w Combine like terms: 2w + -2w = 0 20 + -2w = -36 + 0 20 + -2w = -36 Add '-20' to each side of the equation. 20 + -20 + -2w = -36 + -20 Combine like terms: 20 + -20 = 0 0 + -2w = -36 + -20 -2w = -36 + -20 Combine like terms: -36 + -20 = -56 -2w = -56 Divide each side by '-2'. w = 28 Simplifying w = 28
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