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Simplifying 3(w + 4) = 6w + 24 Reorder the terms: 3(4 + w) = 6w + 24 (4 * 3 + w * 3) = 6w + 24 (12 + 3w) = 6w + 24 Reorder the terms: 12 + 3w = 24 + 6w Solving 12 + 3w = 24 + 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 + 3w + -6w = 24 + 6w + -6w Combine like terms: 3w + -6w = -3w 12 + -3w = 24 + 6w + -6w Combine like terms: 6w + -6w = 0 12 + -3w = 24 + 0 12 + -3w = 24 Add '-12' to each side of the equation. 12 + -12 + -3w = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -3w = 24 + -12 -3w = 24 + -12 Combine like terms: 24 + -12 = 12 -3w = 12 Divide each side by '-3'. w = -4 Simplifying w = -4
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