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Simplifying 2(5c + -1) + -5 = 6c + 5 Reorder the terms: 2(-1 + 5c) + -5 = 6c + 5 (-1 * 2 + 5c * 2) + -5 = 6c + 5 (-2 + 10c) + -5 = 6c + 5 Reorder the terms: -2 + -5 + 10c = 6c + 5 Combine like terms: -2 + -5 = -7 -7 + 10c = 6c + 5 Reorder the terms: -7 + 10c = 5 + 6c Solving -7 + 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. -7 + 10c + -6c = 5 + 6c + -6c Combine like terms: 10c + -6c = 4c -7 + 4c = 5 + 6c + -6c Combine like terms: 6c + -6c = 0 -7 + 4c = 5 + 0 -7 + 4c = 5 Add '7' to each side of the equation. -7 + 7 + 4c = 5 + 7 Combine like terms: -7 + 7 = 0 0 + 4c = 5 + 7 4c = 5 + 7 Combine like terms: 5 + 7 = 12 4c = 12 Divide each side by '4'. c = 3 Simplifying c = 3
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