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Simplifying 7 + -9c + -1(c + 12) = 25 Reorder the terms: 7 + -9c + -1(12 + c) = 25 7 + -9c + (12 * -1 + c * -1) = 25 7 + -9c + (-12 + -1c) = 25 Reorder the terms: 7 + -12 + -9c + -1c = 25 Combine like terms: 7 + -12 = -5 -5 + -9c + -1c = 25 Combine like terms: -9c + -1c = -10c -5 + -10c = 25 Solving -5 + -10c = 25 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -10c = 25 + 5 Combine like terms: -5 + 5 = 0 0 + -10c = 25 + 5 -10c = 25 + 5 Combine like terms: 25 + 5 = 30 -10c = 30 Divide each side by '-10'. c = -3 Simplifying c = -3
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