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