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Simplifying 7 + -3(2c + 5) + -1c = 27 Reorder the terms: 7 + -3(5 + 2c) + -1c = 27 7 + (5 * -3 + 2c * -3) + -1c = 27 7 + (-15 + -6c) + -1c = 27 Combine like terms: 7 + -15 = -8 -8 + -6c + -1c = 27 Combine like terms: -6c + -1c = -7c -8 + -7c = 27 Solving -8 + -7c = 27 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7c = 27 + 8 Combine like terms: -8 + 8 = 0 0 + -7c = 27 + 8 -7c = 27 + 8 Combine like terms: 27 + 8 = 35 -7c = 35 Divide each side by '-7'. c = -5 Simplifying c = -5
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