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Simplifying 20 + 8(3c + -2) = (c + -1) + 3(2c + -4) Reorder the terms: 20 + 8(-2 + 3c) = (c + -1) + 3(2c + -4) 20 + (-2 * 8 + 3c * 8) = (c + -1) + 3(2c + -4) 20 + (-16 + 24c) = (c + -1) + 3(2c + -4) Combine like terms: 20 + -16 = 4 4 + 24c = (c + -1) + 3(2c + -4) Reorder the terms: 4 + 24c = (-1 + c) + 3(2c + -4) Remove parenthesis around (-1 + c) 4 + 24c = -1 + c + 3(2c + -4) Reorder the terms: 4 + 24c = -1 + c + 3(-4 + 2c) 4 + 24c = -1 + c + (-4 * 3 + 2c * 3) 4 + 24c = -1 + c + (-12 + 6c) Reorder the terms: 4 + 24c = -1 + -12 + c + 6c Combine like terms: -1 + -12 = -13 4 + 24c = -13 + c + 6c Combine like terms: c + 6c = 7c 4 + 24c = -13 + 7c Solving 4 + 24c = -13 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 4 + 24c + -7c = -13 + 7c + -7c Combine like terms: 24c + -7c = 17c 4 + 17c = -13 + 7c + -7c Combine like terms: 7c + -7c = 0 4 + 17c = -13 + 0 4 + 17c = -13 Add '-4' to each side of the equation. 4 + -4 + 17c = -13 + -4 Combine like terms: 4 + -4 = 0 0 + 17c = -13 + -4 17c = -13 + -4 Combine like terms: -13 + -4 = -17 17c = -17 Divide each side by '17'. c = -1 Simplifying c = -1
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