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Simplifying 2(5c + -1) + -1 = 6c + 5 Reorder the terms: 2(-1 + 5c) + -1 = 6c + 5 (-1 * 2 + 5c * 2) + -1 = 6c + 5 (-2 + 10c) + -1 = 6c + 5 Reorder the terms: -2 + -1 + 10c = 6c + 5 Combine like terms: -2 + -1 = -3 -3 + 10c = 6c + 5 Reorder the terms: -3 + 10c = 5 + 6c Solving -3 + 10c = 5 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -3 + 10c + -6c = 5 + 6c + -6c Combine like terms: 10c + -6c = 4c -3 + 4c = 5 + 6c + -6c Combine like terms: 6c + -6c = 0 -3 + 4c = 5 + 0 -3 + 4c = 5 Add '3' to each side of the equation. -3 + 3 + 4c = 5 + 3 Combine like terms: -3 + 3 = 0 0 + 4c = 5 + 3 4c = 5 + 3 Combine like terms: 5 + 3 = 8 4c = 8 Divide each side by '4'. c = 2 Simplifying c = 2
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