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Simplifying -1(-4c + -5) = 2c + -7 Reorder the terms: -1(-5 + -4c) = 2c + -7 (-5 * -1 + -4c * -1) = 2c + -7 (5 + 4c) = 2c + -7 Reorder the terms: 5 + 4c = -7 + 2c Solving 5 + 4c = -7 + 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. 5 + 4c + -2c = -7 + 2c + -2c Combine like terms: 4c + -2c = 2c 5 + 2c = -7 + 2c + -2c Combine like terms: 2c + -2c = 0 5 + 2c = -7 + 0 5 + 2c = -7 Add '-5' to each side of the equation. 5 + -5 + 2c = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 2c = -7 + -5 2c = -7 + -5 Combine like terms: -7 + -5 = -12 2c = -12 Divide each side by '2'. c = -6 Simplifying c = -6
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