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Simplifying 4(3w + 3) = 6(w + 5) Reorder the terms: 4(3 + 3w) = 6(w + 5) (3 * 4 + 3w * 4) = 6(w + 5) (12 + 12w) = 6(w + 5) Reorder the terms: 12 + 12w = 6(5 + w) 12 + 12w = (5 * 6 + w * 6) 12 + 12w = (30 + 6w) Solving 12 + 12w = 30 + 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. 12 + 12w + -6w = 30 + 6w + -6w Combine like terms: 12w + -6w = 6w 12 + 6w = 30 + 6w + -6w Combine like terms: 6w + -6w = 0 12 + 6w = 30 + 0 12 + 6w = 30 Add '-12' to each side of the equation. 12 + -12 + 6w = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 6w = 30 + -12 6w = 30 + -12 Combine like terms: 30 + -12 = 18 6w = 18 Divide each side by '6'. w = 3 Simplifying w = 3
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