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Simplifying 7(-2 + 3w) = 5(10 + 4w) (-2 * 7 + 3w * 7) = 5(10 + 4w) (-14 + 21w) = 5(10 + 4w) -14 + 21w = (10 * 5 + 4w * 5) -14 + 21w = (50 + 20w) Solving -14 + 21w = 50 + 20w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-20w' to each side of the equation. -14 + 21w + -20w = 50 + 20w + -20w Combine like terms: 21w + -20w = 1w -14 + 1w = 50 + 20w + -20w Combine like terms: 20w + -20w = 0 -14 + 1w = 50 + 0 -14 + 1w = 50 Add '14' to each side of the equation. -14 + 14 + 1w = 50 + 14 Combine like terms: -14 + 14 = 0 0 + 1w = 50 + 14 1w = 50 + 14 Combine like terms: 50 + 14 = 64 1w = 64 Divide each side by '1'. w = 64 Simplifying w = 64
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