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Simplifying 5(4 + -3w) = w + 8 (4 * 5 + -3w * 5) = w + 8 (20 + -15w) = w + 8 Reorder the terms: 20 + -15w = 8 + w Solving 20 + -15w = 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. 20 + -15w + -1w = 8 + w + -1w Combine like terms: -15w + -1w = -16w 20 + -16w = 8 + w + -1w Combine like terms: w + -1w = 0 20 + -16w = 8 + 0 20 + -16w = 8 Add '-20' to each side of the equation. 20 + -20 + -16w = 8 + -20 Combine like terms: 20 + -20 = 0 0 + -16w = 8 + -20 -16w = 8 + -20 Combine like terms: 8 + -20 = -12 -16w = -12 Divide each side by '-16'. w = 0.75 Simplifying w = 0.75
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