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Simplifying 4w + 2(3w + -1) = 15w Reorder the terms: 4w + 2(-1 + 3w) = 15w 4w + (-1 * 2 + 3w * 2) = 15w 4w + (-2 + 6w) = 15w Reorder the terms: -2 + 4w + 6w = 15w Combine like terms: 4w + 6w = 10w -2 + 10w = 15w Solving -2 + 10w = 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. -2 + 10w + -15w = 15w + -15w Combine like terms: 10w + -15w = -5w -2 + -5w = 15w + -15w Combine like terms: 15w + -15w = 0 -2 + -5w = 0 Add '2' to each side of the equation. -2 + 2 + -5w = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5w = 0 + 2 -5w = 0 + 2 Combine like terms: 0 + 2 = 2 -5w = 2 Divide each side by '-5'. w = -0.4 Simplifying w = -0.4
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