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Simplifying 3(w + -4) + -2(w + -10) = 15 Reorder the terms: 3(-4 + w) + -2(w + -10) = 15 (-4 * 3 + w * 3) + -2(w + -10) = 15 (-12 + 3w) + -2(w + -10) = 15 Reorder the terms: -12 + 3w + -2(-10 + w) = 15 -12 + 3w + (-10 * -2 + w * -2) = 15 -12 + 3w + (20 + -2w) = 15 Reorder the terms: -12 + 20 + 3w + -2w = 15 Combine like terms: -12 + 20 = 8 8 + 3w + -2w = 15 Combine like terms: 3w + -2w = 1w 8 + 1w = 15 Solving 8 + 1w = 15 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 1w = 15 + -8 Combine like terms: 8 + -8 = 0 0 + 1w = 15 + -8 1w = 15 + -8 Combine like terms: 15 + -8 = 7 1w = 7 Divide each side by '1'. w = 7 Simplifying w = 7
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