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Simplifying -6(w + 1) = 5w + -5 + 2(2w + 1) Reorder the terms: -6(1 + w) = 5w + -5 + 2(2w + 1) (1 * -6 + w * -6) = 5w + -5 + 2(2w + 1) (-6 + -6w) = 5w + -5 + 2(2w + 1) Reorder the terms: -6 + -6w = 5w + -5 + 2(1 + 2w) -6 + -6w = 5w + -5 + (1 * 2 + 2w * 2) -6 + -6w = 5w + -5 + (2 + 4w) Reorder the terms: -6 + -6w = -5 + 2 + 5w + 4w Combine like terms: -5 + 2 = -3 -6 + -6w = -3 + 5w + 4w Combine like terms: 5w + 4w = 9w -6 + -6w = -3 + 9w Solving -6 + -6w = -3 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -6 + -6w + -9w = -3 + 9w + -9w Combine like terms: -6w + -9w = -15w -6 + -15w = -3 + 9w + -9w Combine like terms: 9w + -9w = 0 -6 + -15w = -3 + 0 -6 + -15w = -3 Add '6' to each side of the equation. -6 + 6 + -15w = -3 + 6 Combine like terms: -6 + 6 = 0 0 + -15w = -3 + 6 -15w = -3 + 6 Combine like terms: -3 + 6 = 3 -15w = 3 Divide each side by '-15'. w = -0.2 Simplifying w = -0.2
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