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Simplifying (12 + -7c) = 4(2c + -5) Remove parenthesis around (12 + -7c) 12 + -7c = 4(2c + -5) Reorder the terms: 12 + -7c = 4(-5 + 2c) 12 + -7c = (-5 * 4 + 2c * 4) 12 + -7c = (-20 + 8c) Solving 12 + -7c = -20 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 12 + -7c + -8c = -20 + 8c + -8c Combine like terms: -7c + -8c = -15c 12 + -15c = -20 + 8c + -8c Combine like terms: 8c + -8c = 0 12 + -15c = -20 + 0 12 + -15c = -20 Add '-12' to each side of the equation. 12 + -12 + -15c = -20 + -12 Combine like terms: 12 + -12 = 0 0 + -15c = -20 + -12 -15c = -20 + -12 Combine like terms: -20 + -12 = -32 -15c = -32 Divide each side by '-15'. c = 2.133333333 Simplifying c = 2.133333333
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