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Simplifying 4(w + 3) = 6w + 24 Reorder the terms: 4(3 + w) = 6w + 24 (3 * 4 + w * 4) = 6w + 24 (12 + 4w) = 6w + 24 Reorder the terms: 12 + 4w = 24 + 6w Solving 12 + 4w = 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 + 4w + -6w = 24 + 6w + -6w Combine like terms: 4w + -6w = -2w 12 + -2w = 24 + 6w + -6w Combine like terms: 6w + -6w = 0 12 + -2w = 24 + 0 12 + -2w = 24 Add '-12' to each side of the equation. 12 + -12 + -2w = 24 + -12 Combine like terms: 12 + -12 = 0 0 + -2w = 24 + -12 -2w = 24 + -12 Combine like terms: 24 + -12 = 12 -2w = 12 Divide each side by '-2'. w = -6 Simplifying w = -6
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