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Simplifying 6(w + 5) = -2(5w + -6) + 4w Reorder the terms: 6(5 + w) = -2(5w + -6) + 4w (5 * 6 + w * 6) = -2(5w + -6) + 4w (30 + 6w) = -2(5w + -6) + 4w Reorder the terms: 30 + 6w = -2(-6 + 5w) + 4w 30 + 6w = (-6 * -2 + 5w * -2) + 4w 30 + 6w = (12 + -10w) + 4w Combine like terms: -10w + 4w = -6w 30 + 6w = 12 + -6w Solving 30 + 6w = 12 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. 30 + 6w + 6w = 12 + -6w + 6w Combine like terms: 6w + 6w = 12w 30 + 12w = 12 + -6w + 6w Combine like terms: -6w + 6w = 0 30 + 12w = 12 + 0 30 + 12w = 12 Add '-30' to each side of the equation. 30 + -30 + 12w = 12 + -30 Combine like terms: 30 + -30 = 0 0 + 12w = 12 + -30 12w = 12 + -30 Combine like terms: 12 + -30 = -18 12w = -18 Divide each side by '12'. w = -1.5 Simplifying w = -1.5
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