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Simplifying 5w + -1(2w + 2) = -1(2w + 15) Reorder the terms: 5w + -1(2 + 2w) = -1(2w + 15) 5w + (2 * -1 + 2w * -1) = -1(2w + 15) 5w + (-2 + -2w) = -1(2w + 15) Reorder the terms: -2 + 5w + -2w = -1(2w + 15) Combine like terms: 5w + -2w = 3w -2 + 3w = -1(2w + 15) Reorder the terms: -2 + 3w = -1(15 + 2w) -2 + 3w = (15 * -1 + 2w * -1) -2 + 3w = (-15 + -2w) Solving -2 + 3w = -15 + -2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '2w' to each side of the equation. -2 + 3w + 2w = -15 + -2w + 2w Combine like terms: 3w + 2w = 5w -2 + 5w = -15 + -2w + 2w Combine like terms: -2w + 2w = 0 -2 + 5w = -15 + 0 -2 + 5w = -15 Add '2' to each side of the equation. -2 + 2 + 5w = -15 + 2 Combine like terms: -2 + 2 = 0 0 + 5w = -15 + 2 5w = -15 + 2 Combine like terms: -15 + 2 = -13 5w = -13 Divide each side by '5'. w = -2.6 Simplifying w = -2.6
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