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Simplifying 7c + -8 + 3(c + -9) = -75 Reorder the terms: 7c + -8 + 3(-9 + c) = -75 7c + -8 + (-9 * 3 + c * 3) = -75 7c + -8 + (-27 + 3c) = -75 Reorder the terms: -8 + -27 + 7c + 3c = -75 Combine like terms: -8 + -27 = -35 -35 + 7c + 3c = -75 Combine like terms: 7c + 3c = 10c -35 + 10c = -75 Solving -35 + 10c = -75 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 10c = -75 + 35 Combine like terms: -35 + 35 = 0 0 + 10c = -75 + 35 10c = -75 + 35 Combine like terms: -75 + 35 = -40 10c = -40 Divide each side by '10'. c = -4 Simplifying c = -4
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