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Simplifying 9 + -5c = 12 + -1(6c + -7) Reorder the terms: 9 + -5c = 12 + -1(-7 + 6c) 9 + -5c = 12 + (-7 * -1 + 6c * -1) 9 + -5c = 12 + (7 + -6c) Combine like terms: 12 + 7 = 19 9 + -5c = 19 + -6c Solving 9 + -5c = 19 + -6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6c' to each side of the equation. 9 + -5c + 6c = 19 + -6c + 6c Combine like terms: -5c + 6c = 1c 9 + 1c = 19 + -6c + 6c Combine like terms: -6c + 6c = 0 9 + 1c = 19 + 0 9 + 1c = 19 Add '-9' to each side of the equation. 9 + -9 + 1c = 19 + -9 Combine like terms: 9 + -9 = 0 0 + 1c = 19 + -9 1c = 19 + -9 Combine like terms: 19 + -9 = 10 1c = 10 Divide each side by '1'. c = 10 Simplifying c = 10
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