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Simplifying 3(w + 5) + 5w = 2(w + -6) Reorder the terms: 3(5 + w) + 5w = 2(w + -6) (5 * 3 + w * 3) + 5w = 2(w + -6) (15 + 3w) + 5w = 2(w + -6) Combine like terms: 3w + 5w = 8w 15 + 8w = 2(w + -6) Reorder the terms: 15 + 8w = 2(-6 + w) 15 + 8w = (-6 * 2 + w * 2) 15 + 8w = (-12 + 2w) Solving 15 + 8w = -12 + 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. 15 + 8w + -2w = -12 + 2w + -2w Combine like terms: 8w + -2w = 6w 15 + 6w = -12 + 2w + -2w Combine like terms: 2w + -2w = 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 = -27 6w = -27 Divide each side by '6'. w = -4.5 Simplifying w = -4.5
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