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Simplifying 12w + -13 = 9w + -7 Reorder the terms: -13 + 12w = 9w + -7 Reorder the terms: -13 + 12w = -7 + 9w Solving -13 + 12w = -7 + 9w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-9w' to each side of the equation. -13 + 12w + -9w = -7 + 9w + -9w Combine like terms: 12w + -9w = 3w -13 + 3w = -7 + 9w + -9w Combine like terms: 9w + -9w = 0 -13 + 3w = -7 + 0 -13 + 3w = -7 Add '13' to each side of the equation. -13 + 13 + 3w = -7 + 13 Combine like terms: -13 + 13 = 0 0 + 3w = -7 + 13 3w = -7 + 13 Combine like terms: -7 + 13 = 6 3w = 6 Divide each side by '3'. w = 2 Simplifying w = 2
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