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Simplifying 45 + -1(2c + 4) = 4(c + 5) + c Reorder the terms: 45 + -1(4 + 2c) = 4(c + 5) + c 45 + (4 * -1 + 2c * -1) = 4(c + 5) + c 45 + (-4 + -2c) = 4(c + 5) + c Combine like terms: 45 + -4 = 41 41 + -2c = 4(c + 5) + c Reorder the terms: 41 + -2c = 4(5 + c) + c 41 + -2c = (5 * 4 + c * 4) + c 41 + -2c = (20 + 4c) + c Combine like terms: 4c + c = 5c 41 + -2c = 20 + 5c Solving 41 + -2c = 20 + 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. 41 + -2c + -5c = 20 + 5c + -5c Combine like terms: -2c + -5c = -7c 41 + -7c = 20 + 5c + -5c Combine like terms: 5c + -5c = 0 41 + -7c = 20 + 0 41 + -7c = 20 Add '-41' to each side of the equation. 41 + -41 + -7c = 20 + -41 Combine like terms: 41 + -41 = 0 0 + -7c = 20 + -41 -7c = 20 + -41 Combine like terms: 20 + -41 = -21 -7c = -21 Divide each side by '-7'. c = 3 Simplifying c = 3
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