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Simplifying 12w + 6 = 3w + -30 Reorder the terms: 6 + 12w = 3w + -30 Reorder the terms: 6 + 12w = -30 + 3w Solving 6 + 12w = -30 + 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. 6 + 12w + -3w = -30 + 3w + -3w Combine like terms: 12w + -3w = 9w 6 + 9w = -30 + 3w + -3w Combine like terms: 3w + -3w = 0 6 + 9w = -30 + 0 6 + 9w = -30 Add '-6' to each side of the equation. 6 + -6 + 9w = -30 + -6 Combine like terms: 6 + -6 = 0 0 + 9w = -30 + -6 9w = -30 + -6 Combine like terms: -30 + -6 = -36 9w = -36 Divide each side by '9'. w = -4 Simplifying w = -4
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