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Simplifying 2(5c + -1) + -3 = 7c + 4 Reorder the terms: 2(-1 + 5c) + -3 = 7c + 4 (-1 * 2 + 5c * 2) + -3 = 7c + 4 (-2 + 10c) + -3 = 7c + 4 Reorder the terms: -2 + -3 + 10c = 7c + 4 Combine like terms: -2 + -3 = -5 -5 + 10c = 7c + 4 Reorder the terms: -5 + 10c = 4 + 7c Solving -5 + 10c = 4 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -5 + 10c + -7c = 4 + 7c + -7c Combine like terms: 10c + -7c = 3c -5 + 3c = 4 + 7c + -7c Combine like terms: 7c + -7c = 0 -5 + 3c = 4 + 0 -5 + 3c = 4 Add '5' to each side of the equation. -5 + 5 + 3c = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 3c = 4 + 5 3c = 4 + 5 Combine like terms: 4 + 5 = 9 3c = 9 Divide each side by '3'. c = 3 Simplifying c = 3
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