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Simplifying 5(3c + -2) + -7 = 40 + -2c Reorder the terms: 5(-2 + 3c) + -7 = 40 + -2c (-2 * 5 + 3c * 5) + -7 = 40 + -2c (-10 + 15c) + -7 = 40 + -2c Reorder the terms: -10 + -7 + 15c = 40 + -2c Combine like terms: -10 + -7 = -17 -17 + 15c = 40 + -2c Solving -17 + 15c = 40 + -2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2c' to each side of the equation. -17 + 15c + 2c = 40 + -2c + 2c Combine like terms: 15c + 2c = 17c -17 + 17c = 40 + -2c + 2c Combine like terms: -2c + 2c = 0 -17 + 17c = 40 + 0 -17 + 17c = 40 Add '17' to each side of the equation. -17 + 17 + 17c = 40 + 17 Combine like terms: -17 + 17 = 0 0 + 17c = 40 + 17 17c = 40 + 17 Combine like terms: 40 + 17 = 57 17c = 57 Divide each side by '17'. c = 3.352941176 Simplifying c = 3.352941176
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