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Simplifying 3c + -1(2c + -7) = 9 + 2c + -4 Reorder the terms: 3c + -1(-7 + 2c) = 9 + 2c + -4 3c + (-7 * -1 + 2c * -1) = 9 + 2c + -4 3c + (7 + -2c) = 9 + 2c + -4 Reorder the terms: 7 + 3c + -2c = 9 + 2c + -4 Combine like terms: 3c + -2c = 1c 7 + 1c = 9 + 2c + -4 Reorder the terms: 7 + 1c = 9 + -4 + 2c Combine like terms: 9 + -4 = 5 7 + 1c = 5 + 2c Solving 7 + 1c = 5 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. 7 + 1c + -2c = 5 + 2c + -2c Combine like terms: 1c + -2c = -1c 7 + -1c = 5 + 2c + -2c Combine like terms: 2c + -2c = 0 7 + -1c = 5 + 0 7 + -1c = 5 Add '-7' to each side of the equation. 7 + -7 + -1c = 5 + -7 Combine like terms: 7 + -7 = 0 0 + -1c = 5 + -7 -1c = 5 + -7 Combine like terms: 5 + -7 = -2 -1c = -2 Divide each side by '-1'. c = 2 Simplifying c = 2
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