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Simplifying 5(4 + -2c) = 7c + -116 (4 * 5 + -2c * 5) = 7c + -116 (20 + -10c) = 7c + -116 Reorder the terms: 20 + -10c = -116 + 7c Solving 20 + -10c = -116 + 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. 20 + -10c + -7c = -116 + 7c + -7c Combine like terms: -10c + -7c = -17c 20 + -17c = -116 + 7c + -7c Combine like terms: 7c + -7c = 0 20 + -17c = -116 + 0 20 + -17c = -116 Add '-20' to each side of the equation. 20 + -20 + -17c = -116 + -20 Combine like terms: 20 + -20 = 0 0 + -17c = -116 + -20 -17c = -116 + -20 Combine like terms: -116 + -20 = -136 -17c = -136 Divide each side by '-17'. c = 8 Simplifying c = 8
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