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Simplifying 3(c + -13) + 2(c + -7) = 7 Reorder the terms: 3(-13 + c) + 2(c + -7) = 7 (-13 * 3 + c * 3) + 2(c + -7) = 7 (-39 + 3c) + 2(c + -7) = 7 Reorder the terms: -39 + 3c + 2(-7 + c) = 7 -39 + 3c + (-7 * 2 + c * 2) = 7 -39 + 3c + (-14 + 2c) = 7 Reorder the terms: -39 + -14 + 3c + 2c = 7 Combine like terms: -39 + -14 = -53 -53 + 3c + 2c = 7 Combine like terms: 3c + 2c = 5c -53 + 5c = 7 Solving -53 + 5c = 7 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '53' to each side of the equation. -53 + 53 + 5c = 7 + 53 Combine like terms: -53 + 53 = 0 0 + 5c = 7 + 53 5c = 7 + 53 Combine like terms: 7 + 53 = 60 5c = 60 Divide each side by '5'. c = 12 Simplifying c = 12
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