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Simplifying 7(10 + -3w) = 55(15 + -4w) (10 * 7 + -3w * 7) = 55(15 + -4w) (70 + -21w) = 55(15 + -4w) 70 + -21w = (15 * 55 + -4w * 55) 70 + -21w = (825 + -220w) Solving 70 + -21w = 825 + -220w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '220w' to each side of the equation. 70 + -21w + 220w = 825 + -220w + 220w Combine like terms: -21w + 220w = 199w 70 + 199w = 825 + -220w + 220w Combine like terms: -220w + 220w = 0 70 + 199w = 825 + 0 70 + 199w = 825 Add '-70' to each side of the equation. 70 + -70 + 199w = 825 + -70 Combine like terms: 70 + -70 = 0 0 + 199w = 825 + -70 199w = 825 + -70 Combine like terms: 825 + -70 = 755 199w = 755 Divide each side by '199'. w = 3.793969849 Simplifying w = 3.793969849
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