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Simplifying 2(5c + -1) + -1 = 5c + 7 Reorder the terms: 2(-1 + 5c) + -1 = 5c + 7 (-1 * 2 + 5c * 2) + -1 = 5c + 7 (-2 + 10c) + -1 = 5c + 7 Reorder the terms: -2 + -1 + 10c = 5c + 7 Combine like terms: -2 + -1 = -3 -3 + 10c = 5c + 7 Reorder the terms: -3 + 10c = 7 + 5c Solving -3 + 10c = 7 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -3 + 10c + -5c = 7 + 5c + -5c Combine like terms: 10c + -5c = 5c -3 + 5c = 7 + 5c + -5c Combine like terms: 5c + -5c = 0 -3 + 5c = 7 + 0 -3 + 5c = 7 Add '3' to each side of the equation. -3 + 3 + 5c = 7 + 3 Combine like terms: -3 + 3 = 0 0 + 5c = 7 + 3 5c = 7 + 3 Combine like terms: 7 + 3 = 10 5c = 10 Divide each side by '5'. c = 2 Simplifying c = 2
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