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Simplifying 4(12 + 8w) = w + -18 (12 * 4 + 8w * 4) = w + -18 (48 + 32w) = w + -18 Reorder the terms: 48 + 32w = -18 + w Solving 48 + 32w = -18 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. 48 + 32w + -1w = -18 + w + -1w Combine like terms: 32w + -1w = 31w 48 + 31w = -18 + w + -1w Combine like terms: w + -1w = 0 48 + 31w = -18 + 0 48 + 31w = -18 Add '-48' to each side of the equation. 48 + -48 + 31w = -18 + -48 Combine like terms: 48 + -48 = 0 0 + 31w = -18 + -48 31w = -18 + -48 Combine like terms: -18 + -48 = -66 31w = -66 Divide each side by '31'. w = -2.129032258 Simplifying w = -2.129032258
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