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