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Simplifying 4(5w + 6) + -1(3w + -5) = 0 Reorder the terms: 4(6 + 5w) + -1(3w + -5) = 0 (6 * 4 + 5w * 4) + -1(3w + -5) = 0 (24 + 20w) + -1(3w + -5) = 0 Reorder the terms: 24 + 20w + -1(-5 + 3w) = 0 24 + 20w + (-5 * -1 + 3w * -1) = 0 24 + 20w + (5 + -3w) = 0 Reorder the terms: 24 + 5 + 20w + -3w = 0 Combine like terms: 24 + 5 = 29 29 + 20w + -3w = 0 Combine like terms: 20w + -3w = 17w 29 + 17w = 0 Solving 29 + 17w = 0 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 17w = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 17w = 0 + -29 17w = 0 + -29 Combine like terms: 0 + -29 = -29 17w = -29 Divide each side by '17'. w = -1.705882353 Simplifying w = -1.705882353
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