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Simplifying 2(4c + -1) + -5 = 3c + 3 Reorder the terms: 2(-1 + 4c) + -5 = 3c + 3 (-1 * 2 + 4c * 2) + -5 = 3c + 3 (-2 + 8c) + -5 = 3c + 3 Reorder the terms: -2 + -5 + 8c = 3c + 3 Combine like terms: -2 + -5 = -7 -7 + 8c = 3c + 3 Reorder the terms: -7 + 8c = 3 + 3c Solving -7 + 8c = 3 + 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 + 8c + -3c = 3 + 3c + -3c Combine like terms: 8c + -3c = 5c -7 + 5c = 3 + 3c + -3c Combine like terms: 3c + -3c = 0 -7 + 5c = 3 + 0 -7 + 5c = 3 Add '7' to each side of the equation. -7 + 7 + 5c = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 5c = 3 + 7 5c = 3 + 7 Combine like terms: 3 + 7 = 10 5c = 10 Divide each side by '5'. c = 2 Simplifying c = 2
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