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Simplifying -4(c + -5) + 3c = 10 + -3c Reorder the terms: -4(-5 + c) + 3c = 10 + -3c (-5 * -4 + c * -4) + 3c = 10 + -3c (20 + -4c) + 3c = 10 + -3c Combine like terms: -4c + 3c = -1c 20 + -1c = 10 + -3c Solving 20 + -1c = 10 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. 20 + -1c + 3c = 10 + -3c + 3c Combine like terms: -1c + 3c = 2c 20 + 2c = 10 + -3c + 3c Combine like terms: -3c + 3c = 0 20 + 2c = 10 + 0 20 + 2c = 10 Add '-20' to each side of the equation. 20 + -20 + 2c = 10 + -20 Combine like terms: 20 + -20 = 0 0 + 2c = 10 + -20 2c = 10 + -20 Combine like terms: 10 + -20 = -10 2c = -10 Divide each side by '2'. c = -5 Simplifying c = -5
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