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Simplifying 4(3c + 8) = 15 + -1(6c + -5) + 16c Reorder the terms: 4(8 + 3c) = 15 + -1(6c + -5) + 16c (8 * 4 + 3c * 4) = 15 + -1(6c + -5) + 16c (32 + 12c) = 15 + -1(6c + -5) + 16c Reorder the terms: 32 + 12c = 15 + -1(-5 + 6c) + 16c 32 + 12c = 15 + (-5 * -1 + 6c * -1) + 16c 32 + 12c = 15 + (5 + -6c) + 16c Combine like terms: 15 + 5 = 20 32 + 12c = 20 + -6c + 16c Combine like terms: -6c + 16c = 10c 32 + 12c = 20 + 10c Solving 32 + 12c = 20 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. 32 + 12c + -10c = 20 + 10c + -10c Combine like terms: 12c + -10c = 2c 32 + 2c = 20 + 10c + -10c Combine like terms: 10c + -10c = 0 32 + 2c = 20 + 0 32 + 2c = 20 Add '-32' to each side of the equation. 32 + -32 + 2c = 20 + -32 Combine like terms: 32 + -32 = 0 0 + 2c = 20 + -32 2c = 20 + -32 Combine like terms: 20 + -32 = -12 2c = -12 Divide each side by '2'. c = -6 Simplifying c = -6
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