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Simplifying 46 + -1(2c + 4) = 4c + 28 + c Reorder the terms: 46 + -1(4 + 2c) = 4c + 28 + c 46 + (4 * -1 + 2c * -1) = 4c + 28 + c 46 + (-4 + -2c) = 4c + 28 + c Combine like terms: 46 + -4 = 42 42 + -2c = 4c + 28 + c Reorder the terms: 42 + -2c = 28 + 4c + c Combine like terms: 4c + c = 5c 42 + -2c = 28 + 5c Solving 42 + -2c = 28 + 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. 42 + -2c + -5c = 28 + 5c + -5c Combine like terms: -2c + -5c = -7c 42 + -7c = 28 + 5c + -5c Combine like terms: 5c + -5c = 0 42 + -7c = 28 + 0 42 + -7c = 28 Add '-42' to each side of the equation. 42 + -42 + -7c = 28 + -42 Combine like terms: 42 + -42 = 0 0 + -7c = 28 + -42 -7c = 28 + -42 Combine like terms: 28 + -42 = -14 -7c = -14 Divide each side by '-7'. c = 2 Simplifying c = 2
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