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Simplifying 2c + -3(c + -5) = 4(2c + 2) + -3c Reorder the terms: 2c + -3(-5 + c) = 4(2c + 2) + -3c 2c + (-5 * -3 + c * -3) = 4(2c + 2) + -3c 2c + (15 + -3c) = 4(2c + 2) + -3c Reorder the terms: 15 + 2c + -3c = 4(2c + 2) + -3c Combine like terms: 2c + -3c = -1c 15 + -1c = 4(2c + 2) + -3c Reorder the terms: 15 + -1c = 4(2 + 2c) + -3c 15 + -1c = (2 * 4 + 2c * 4) + -3c 15 + -1c = (8 + 8c) + -3c Combine like terms: 8c + -3c = 5c 15 + -1c = 8 + 5c Solving 15 + -1c = 8 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. 15 + -1c + -5c = 8 + 5c + -5c Combine like terms: -1c + -5c = -6c 15 + -6c = 8 + 5c + -5c Combine like terms: 5c + -5c = 0 15 + -6c = 8 + 0 15 + -6c = 8 Add '-15' to each side of the equation. 15 + -15 + -6c = 8 + -15 Combine like terms: 15 + -15 = 0 0 + -6c = 8 + -15 -6c = 8 + -15 Combine like terms: 8 + -15 = -7 -6c = -7 Divide each side by '-6'. c = 1.166666667 Simplifying c = 1.166666667
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