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Simplifying (12c + 35) + -1(5c + -27) = -2 Reorder the terms: (35 + 12c) + -1(5c + -27) = -2 Remove parenthesis around (35 + 12c) 35 + 12c + -1(5c + -27) = -2 Reorder the terms: 35 + 12c + -1(-27 + 5c) = -2 35 + 12c + (-27 * -1 + 5c * -1) = -2 35 + 12c + (27 + -5c) = -2 Reorder the terms: 35 + 27 + 12c + -5c = -2 Combine like terms: 35 + 27 = 62 62 + 12c + -5c = -2 Combine like terms: 12c + -5c = 7c 62 + 7c = -2 Solving 62 + 7c = -2 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-62' to each side of the equation. 62 + -62 + 7c = -2 + -62 Combine like terms: 62 + -62 = 0 0 + 7c = -2 + -62 7c = -2 + -62 Combine like terms: -2 + -62 = -64 7c = -64 Divide each side by '7'. c = -9.142857143 Simplifying c = -9.142857143
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