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Simplifying 4(w + 3) = 7w + 36 Reorder the terms: 4(3 + w) = 7w + 36 (3 * 4 + w * 4) = 7w + 36 (12 + 4w) = 7w + 36 Reorder the terms: 12 + 4w = 36 + 7w Solving 12 + 4w = 36 + 7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-7w' to each side of the equation. 12 + 4w + -7w = 36 + 7w + -7w Combine like terms: 4w + -7w = -3w 12 + -3w = 36 + 7w + -7w Combine like terms: 7w + -7w = 0 12 + -3w = 36 + 0 12 + -3w = 36 Add '-12' to each side of the equation. 12 + -12 + -3w = 36 + -12 Combine like terms: 12 + -12 = 0 0 + -3w = 36 + -12 -3w = 36 + -12 Combine like terms: 36 + -12 = 24 -3w = 24 Divide each side by '-3'. w = -8 Simplifying w = -8
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