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Simplifying 2(3c + -1) + -5 = 3c + 2 Reorder the terms: 2(-1 + 3c) + -5 = 3c + 2 (-1 * 2 + 3c * 2) + -5 = 3c + 2 (-2 + 6c) + -5 = 3c + 2 Reorder the terms: -2 + -5 + 6c = 3c + 2 Combine like terms: -2 + -5 = -7 -7 + 6c = 3c + 2 Reorder the terms: -7 + 6c = 2 + 3c Solving -7 + 6c = 2 + 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. -7 + 6c + -3c = 2 + 3c + -3c Combine like terms: 6c + -3c = 3c -7 + 3c = 2 + 3c + -3c Combine like terms: 3c + -3c = 0 -7 + 3c = 2 + 0 -7 + 3c = 2 Add '7' to each side of the equation. -7 + 7 + 3c = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 3c = 2 + 7 3c = 2 + 7 Combine like terms: 2 + 7 = 9 3c = 9 Divide each side by '3'. c = 3 Simplifying c = 3
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