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Simplifying 4(12 + -8w) = w + -8 (12 * 4 + -8w * 4) = w + -8 (48 + -32w) = w + -8 Reorder the terms: 48 + -32w = -8 + w Solving 48 + -32w = -8 + 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 = -8 + w + -1w Combine like terms: -32w + -1w = -33w 48 + -33w = -8 + w + -1w Combine like terms: w + -1w = 0 48 + -33w = -8 + 0 48 + -33w = -8 Add '-48' to each side of the equation. 48 + -48 + -33w = -8 + -48 Combine like terms: 48 + -48 = 0 0 + -33w = -8 + -48 -33w = -8 + -48 Combine like terms: -8 + -48 = -56 -33w = -56 Divide each side by '-33'. w = 1.696969697 Simplifying w = 1.696969697
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