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Simplifying 4(w + 3) = 7 + 3w Reorder the terms: 4(3 + w) = 7 + 3w (3 * 4 + w * 4) = 7 + 3w (12 + 4w) = 7 + 3w Solving 12 + 4w = 7 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 12 + 4w + -3w = 7 + 3w + -3w Combine like terms: 4w + -3w = 1w 12 + 1w = 7 + 3w + -3w Combine like terms: 3w + -3w = 0 12 + 1w = 7 + 0 12 + 1w = 7 Add '-12' to each side of the equation. 12 + -12 + 1w = 7 + -12 Combine like terms: 12 + -12 = 0 0 + 1w = 7 + -12 1w = 7 + -12 Combine like terms: 7 + -12 = -5 1w = -5 Divide each side by '1'. w = -5 Simplifying w = -5
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