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Simplifying 3w + 15 = -1(w + -2) Reorder the terms: 15 + 3w = -1(w + -2) Reorder the terms: 15 + 3w = -1(-2 + w) 15 + 3w = (-2 * -1 + w * -1) 15 + 3w = (2 + -1w) Solving 15 + 3w = 2 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. 15 + 3w + w = 2 + -1w + w Combine like terms: 3w + w = 4w 15 + 4w = 2 + -1w + w Combine like terms: -1w + w = 0 15 + 4w = 2 + 0 15 + 4w = 2 Add '-15' to each side of the equation. 15 + -15 + 4w = 2 + -15 Combine like terms: 15 + -15 = 0 0 + 4w = 2 + -15 4w = 2 + -15 Combine like terms: 2 + -15 = -13 4w = -13 Divide each side by '4'. w = -3.25 Simplifying w = -3.25
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