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Simplifying 12w + -21 = 3(w + 5) Reorder the terms: -21 + 12w = 3(w + 5) Reorder the terms: -21 + 12w = 3(5 + w) -21 + 12w = (5 * 3 + w * 3) -21 + 12w = (15 + 3w) Solving -21 + 12w = 15 + 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. -21 + 12w + -3w = 15 + 3w + -3w Combine like terms: 12w + -3w = 9w -21 + 9w = 15 + 3w + -3w Combine like terms: 3w + -3w = 0 -21 + 9w = 15 + 0 -21 + 9w = 15 Add '21' to each side of the equation. -21 + 21 + 9w = 15 + 21 Combine like terms: -21 + 21 = 0 0 + 9w = 15 + 21 9w = 15 + 21 Combine like terms: 15 + 21 = 36 9w = 36 Divide each side by '9'. w = 4 Simplifying w = 4
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