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Simplifying 5(w + -1) = 3w + 4 + -6(-2w + -1) Reorder the terms: 5(-1 + w) = 3w + 4 + -6(-2w + -1) (-1 * 5 + w * 5) = 3w + 4 + -6(-2w + -1) (-5 + 5w) = 3w + 4 + -6(-2w + -1) Reorder the terms: -5 + 5w = 3w + 4 + -6(-1 + -2w) -5 + 5w = 3w + 4 + (-1 * -6 + -2w * -6) -5 + 5w = 3w + 4 + (6 + 12w) Reorder the terms: -5 + 5w = 4 + 6 + 3w + 12w Combine like terms: 4 + 6 = 10 -5 + 5w = 10 + 3w + 12w Combine like terms: 3w + 12w = 15w -5 + 5w = 10 + 15w Solving -5 + 5w = 10 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -5 + 5w + -15w = 10 + 15w + -15w Combine like terms: 5w + -15w = -10w -5 + -10w = 10 + 15w + -15w Combine like terms: 15w + -15w = 0 -5 + -10w = 10 + 0 -5 + -10w = 10 Add '5' to each side of the equation. -5 + 5 + -10w = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -10w = 10 + 5 -10w = 10 + 5 Combine like terms: 10 + 5 = 15 -10w = 15 Divide each side by '-10'. w = -1.5 Simplifying w = -1.5
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