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Simplifying -2(w + 1) = 5w + -8 + 3(3w + 6) Reorder the terms: -2(1 + w) = 5w + -8 + 3(3w + 6) (1 * -2 + w * -2) = 5w + -8 + 3(3w + 6) (-2 + -2w) = 5w + -8 + 3(3w + 6) Reorder the terms: -2 + -2w = 5w + -8 + 3(6 + 3w) -2 + -2w = 5w + -8 + (6 * 3 + 3w * 3) -2 + -2w = 5w + -8 + (18 + 9w) Reorder the terms: -2 + -2w = -8 + 18 + 5w + 9w Combine like terms: -8 + 18 = 10 -2 + -2w = 10 + 5w + 9w Combine like terms: 5w + 9w = 14w -2 + -2w = 10 + 14w Solving -2 + -2w = 10 + 14w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-14w' to each side of the equation. -2 + -2w + -14w = 10 + 14w + -14w Combine like terms: -2w + -14w = -16w -2 + -16w = 10 + 14w + -14w Combine like terms: 14w + -14w = 0 -2 + -16w = 10 + 0 -2 + -16w = 10 Add '2' to each side of the equation. -2 + 2 + -16w = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -16w = 10 + 2 -16w = 10 + 2 Combine like terms: 10 + 2 = 12 -16w = 12 Divide each side by '-16'. w = -0.75 Simplifying w = -0.75
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