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Simplifying 4(3w + -6) + 5(w + -1) = 5w + 5 Reorder the terms: 4(-6 + 3w) + 5(w + -1) = 5w + 5 (-6 * 4 + 3w * 4) + 5(w + -1) = 5w + 5 (-24 + 12w) + 5(w + -1) = 5w + 5 Reorder the terms: -24 + 12w + 5(-1 + w) = 5w + 5 -24 + 12w + (-1 * 5 + w * 5) = 5w + 5 -24 + 12w + (-5 + 5w) = 5w + 5 Reorder the terms: -24 + -5 + 12w + 5w = 5w + 5 Combine like terms: -24 + -5 = -29 -29 + 12w + 5w = 5w + 5 Combine like terms: 12w + 5w = 17w -29 + 17w = 5w + 5 Reorder the terms: -29 + 17w = 5 + 5w Solving -29 + 17w = 5 + 5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-5w' to each side of the equation. -29 + 17w + -5w = 5 + 5w + -5w Combine like terms: 17w + -5w = 12w -29 + 12w = 5 + 5w + -5w Combine like terms: 5w + -5w = 0 -29 + 12w = 5 + 0 -29 + 12w = 5 Add '29' to each side of the equation. -29 + 29 + 12w = 5 + 29 Combine like terms: -29 + 29 = 0 0 + 12w = 5 + 29 12w = 5 + 29 Combine like terms: 5 + 29 = 34 12w = 34 Divide each side by '12'. w = 2.833333333 Simplifying w = 2.833333333
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