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Simplifying 5 + 2(3c + -1) = c + 21 + -4c Reorder the terms: 5 + 2(-1 + 3c) = c + 21 + -4c 5 + (-1 * 2 + 3c * 2) = c + 21 + -4c 5 + (-2 + 6c) = c + 21 + -4c Combine like terms: 5 + -2 = 3 3 + 6c = c + 21 + -4c Reorder the terms: 3 + 6c = 21 + c + -4c Combine like terms: c + -4c = -3c 3 + 6c = 21 + -3c Solving 3 + 6c = 21 + -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. 3 + 6c + 3c = 21 + -3c + 3c Combine like terms: 6c + 3c = 9c 3 + 9c = 21 + -3c + 3c Combine like terms: -3c + 3c = 0 3 + 9c = 21 + 0 3 + 9c = 21 Add '-3' to each side of the equation. 3 + -3 + 9c = 21 + -3 Combine like terms: 3 + -3 = 0 0 + 9c = 21 + -3 9c = 21 + -3 Combine like terms: 21 + -3 = 18 9c = 18 Divide each side by '9'. c = 2 Simplifying c = 2
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