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Simplifying 3(w + 8) = 2(w + -4) Reorder the terms: 3(8 + w) = 2(w + -4) (8 * 3 + w * 3) = 2(w + -4) (24 + 3w) = 2(w + -4) Reorder the terms: 24 + 3w = 2(-4 + w) 24 + 3w = (-4 * 2 + w * 2) 24 + 3w = (-8 + 2w) Solving 24 + 3w = -8 + 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. 24 + 3w + -2w = -8 + 2w + -2w Combine like terms: 3w + -2w = 1w 24 + 1w = -8 + 2w + -2w Combine like terms: 2w + -2w = 0 24 + 1w = -8 + 0 24 + 1w = -8 Add '-24' to each side of the equation. 24 + -24 + 1w = -8 + -24 Combine like terms: 24 + -24 = 0 0 + 1w = -8 + -24 1w = -8 + -24 Combine like terms: -8 + -24 = -32 1w = -32 Divide each side by '1'. w = -32 Simplifying w = -32
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