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Simplifying 4w + 30 = 3(w + 6) Reorder the terms: 30 + 4w = 3(w + 6) Reorder the terms: 30 + 4w = 3(6 + w) 30 + 4w = (6 * 3 + w * 3) 30 + 4w = (18 + 3w) Solving 30 + 4w = 18 + 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. 30 + 4w + -3w = 18 + 3w + -3w Combine like terms: 4w + -3w = 1w 30 + 1w = 18 + 3w + -3w Combine like terms: 3w + -3w = 0 30 + 1w = 18 + 0 30 + 1w = 18 Add '-30' to each side of the equation. 30 + -30 + 1w = 18 + -30 Combine like terms: 30 + -30 = 0 0 + 1w = 18 + -30 1w = 18 + -30 Combine like terms: 18 + -30 = -12 1w = -12 Divide each side by '1'. w = -12 Simplifying w = -12
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