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Simplifying 5(2w + 3) = 6w + -2(w + -6) Reorder the terms: 5(3 + 2w) = 6w + -2(w + -6) (3 * 5 + 2w * 5) = 6w + -2(w + -6) (15 + 10w) = 6w + -2(w + -6) Reorder the terms: 15 + 10w = 6w + -2(-6 + w) 15 + 10w = 6w + (-6 * -2 + w * -2) 15 + 10w = 6w + (12 + -2w) Reorder the terms: 15 + 10w = 12 + 6w + -2w Combine like terms: 6w + -2w = 4w 15 + 10w = 12 + 4w Solving 15 + 10w = 12 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. 15 + 10w + -4w = 12 + 4w + -4w Combine like terms: 10w + -4w = 6w 15 + 6w = 12 + 4w + -4w Combine like terms: 4w + -4w = 0 15 + 6w = 12 + 0 15 + 6w = 12 Add '-15' to each side of the equation. 15 + -15 + 6w = 12 + -15 Combine like terms: 15 + -15 = 0 0 + 6w = 12 + -15 6w = 12 + -15 Combine like terms: 12 + -15 = -3 6w = -3 Divide each side by '6'. w = -0.5 Simplifying w = -0.5
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