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Simplifying 58 + -1(2c + 3) = 5c + 20 Reorder the terms: 58 + -1(3 + 2c) = 5c + 20 58 + (3 * -1 + 2c * -1) = 5c + 20 58 + (-3 + -2c) = 5c + 20 Combine like terms: 58 + -3 = 55 55 + -2c = 5c + 20 Reorder the terms: 55 + -2c = 20 + 5c Solving 55 + -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. 55 + -2c + -5c = 20 + 5c + -5c Combine like terms: -2c + -5c = -7c 55 + -7c = 20 + 5c + -5c Combine like terms: 5c + -5c = 0 55 + -7c = 20 + 0 55 + -7c = 20 Add '-55' to each side of the equation. 55 + -55 + -7c = 20 + -55 Combine like terms: 55 + -55 = 0 0 + -7c = 20 + -55 -7c = 20 + -55 Combine like terms: 20 + -55 = -35 -7c = -35 Divide each side by '-7'. c = 5 Simplifying c = 5
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