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