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Simplifying 5(2c + -12) + 21 = 2c + 41 Reorder the terms: 5(-12 + 2c) + 21 = 2c + 41 (-12 * 5 + 2c * 5) + 21 = 2c + 41 (-60 + 10c) + 21 = 2c + 41 Reorder the terms: -60 + 21 + 10c = 2c + 41 Combine like terms: -60 + 21 = -39 -39 + 10c = 2c + 41 Reorder the terms: -39 + 10c = 41 + 2c Solving -39 + 10c = 41 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -39 + 10c + -2c = 41 + 2c + -2c Combine like terms: 10c + -2c = 8c -39 + 8c = 41 + 2c + -2c Combine like terms: 2c + -2c = 0 -39 + 8c = 41 + 0 -39 + 8c = 41 Add '39' to each side of the equation. -39 + 39 + 8c = 41 + 39 Combine like terms: -39 + 39 = 0 0 + 8c = 41 + 39 8c = 41 + 39 Combine like terms: 41 + 39 = 80 8c = 80 Divide each side by '8'. c = 10 Simplifying c = 10
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