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Simplifying -4(5w + 8) = 6(w + 3) Reorder the terms: -4(8 + 5w) = 6(w + 3) (8 * -4 + 5w * -4) = 6(w + 3) (-32 + -20w) = 6(w + 3) Reorder the terms: -32 + -20w = 6(3 + w) -32 + -20w = (3 * 6 + w * 6) -32 + -20w = (18 + 6w) Solving -32 + -20w = 18 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -32 + -20w + -6w = 18 + 6w + -6w Combine like terms: -20w + -6w = -26w -32 + -26w = 18 + 6w + -6w Combine like terms: 6w + -6w = 0 -32 + -26w = 18 + 0 -32 + -26w = 18 Add '32' to each side of the equation. -32 + 32 + -26w = 18 + 32 Combine like terms: -32 + 32 = 0 0 + -26w = 18 + 32 -26w = 18 + 32 Combine like terms: 18 + 32 = 50 -26w = 50 Divide each side by '-26'. w = -1.923076923 Simplifying w = -1.923076923
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