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Simplifying 41 + -1(2c + 4) = 3c + 12 Reorder the terms: 41 + -1(4 + 2c) = 3c + 12 41 + (4 * -1 + 2c * -1) = 3c + 12 41 + (-4 + -2c) = 3c + 12 Combine like terms: 41 + -4 = 37 37 + -2c = 3c + 12 Reorder the terms: 37 + -2c = 12 + 3c Solving 37 + -2c = 12 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. 37 + -2c + -3c = 12 + 3c + -3c Combine like terms: -2c + -3c = -5c 37 + -5c = 12 + 3c + -3c Combine like terms: 3c + -3c = 0 37 + -5c = 12 + 0 37 + -5c = 12 Add '-37' to each side of the equation. 37 + -37 + -5c = 12 + -37 Combine like terms: 37 + -37 = 0 0 + -5c = 12 + -37 -5c = 12 + -37 Combine like terms: 12 + -37 = -25 -5c = -25 Divide each side by '-5'. c = 5 Simplifying c = 5
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