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Simplifying 5(4w + 3) = 4(5 + 4w) + 3w + -1 Reorder the terms: 5(3 + 4w) = 4(5 + 4w) + 3w + -1 (3 * 5 + 4w * 5) = 4(5 + 4w) + 3w + -1 (15 + 20w) = 4(5 + 4w) + 3w + -1 15 + 20w = (5 * 4 + 4w * 4) + 3w + -1 15 + 20w = (20 + 16w) + 3w + -1 Reorder the terms: 15 + 20w = 20 + -1 + 16w + 3w Combine like terms: 20 + -1 = 19 15 + 20w = 19 + 16w + 3w Combine like terms: 16w + 3w = 19w 15 + 20w = 19 + 19w Solving 15 + 20w = 19 + 19w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-19w' to each side of the equation. 15 + 20w + -19w = 19 + 19w + -19w Combine like terms: 20w + -19w = 1w 15 + 1w = 19 + 19w + -19w Combine like terms: 19w + -19w = 0 15 + 1w = 19 + 0 15 + 1w = 19 Add '-15' to each side of the equation. 15 + -15 + 1w = 19 + -15 Combine like terms: 15 + -15 = 0 0 + 1w = 19 + -15 1w = 19 + -15 Combine like terms: 19 + -15 = 4 1w = 4 Divide each side by '1'. w = 4 Simplifying w = 4
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