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Simplifying 4(w + 5) = 6w + 32 Reorder the terms: 4(5 + w) = 6w + 32 (5 * 4 + w * 4) = 6w + 32 (20 + 4w) = 6w + 32 Reorder the terms: 20 + 4w = 32 + 6w Solving 20 + 4w = 32 + 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. 20 + 4w + -6w = 32 + 6w + -6w Combine like terms: 4w + -6w = -2w 20 + -2w = 32 + 6w + -6w Combine like terms: 6w + -6w = 0 20 + -2w = 32 + 0 20 + -2w = 32 Add '-20' to each side of the equation. 20 + -20 + -2w = 32 + -20 Combine like terms: 20 + -20 = 0 0 + -2w = 32 + -20 -2w = 32 + -20 Combine like terms: 32 + -20 = 12 -2w = 12 Divide each side by '-2'. w = -6 Simplifying w = -6
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