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Simplifying 5(6 + -4w) = w + 21 (6 * 5 + -4w * 5) = w + 21 (30 + -20w) = w + 21 Reorder the terms: 30 + -20w = 21 + w Solving 30 + -20w = 21 + 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. 30 + -20w + -1w = 21 + w + -1w Combine like terms: -20w + -1w = -21w 30 + -21w = 21 + w + -1w Combine like terms: w + -1w = 0 30 + -21w = 21 + 0 30 + -21w = 21 Add '-30' to each side of the equation. 30 + -30 + -21w = 21 + -30 Combine like terms: 30 + -30 = 0 0 + -21w = 21 + -30 -21w = 21 + -30 Combine like terms: 21 + -30 = -9 -21w = -9 Divide each side by '-21'. w = 0.4285714286 Simplifying w = 0.4285714286
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