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Simplifying 6(w + 5) = 2(w + -2) + 4 Reorder the terms: 6(5 + w) = 2(w + -2) + 4 (5 * 6 + w * 6) = 2(w + -2) + 4 (30 + 6w) = 2(w + -2) + 4 Reorder the terms: 30 + 6w = 2(-2 + w) + 4 30 + 6w = (-2 * 2 + w * 2) + 4 30 + 6w = (-4 + 2w) + 4 Reorder the terms: 30 + 6w = -4 + 4 + 2w Combine like terms: -4 + 4 = 0 30 + 6w = 0 + 2w 30 + 6w = 2w Solving 30 + 6w = 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. 30 + 6w + -2w = 2w + -2w Combine like terms: 6w + -2w = 4w 30 + 4w = 2w + -2w Combine like terms: 2w + -2w = 0 30 + 4w = 0 Add '-30' to each side of the equation. 30 + -30 + 4w = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 4w = 0 + -30 4w = 0 + -30 Combine like terms: 0 + -30 = -30 4w = -30 Divide each side by '4'. w = -7.5 Simplifying w = -7.5
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