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Simplifying 2(4c + -1) + -3 = 5c + 7 Reorder the terms: 2(-1 + 4c) + -3 = 5c + 7 (-1 * 2 + 4c * 2) + -3 = 5c + 7 (-2 + 8c) + -3 = 5c + 7 Reorder the terms: -2 + -3 + 8c = 5c + 7 Combine like terms: -2 + -3 = -5 -5 + 8c = 5c + 7 Reorder the terms: -5 + 8c = 7 + 5c Solving -5 + 8c = 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. -5 + 8c + -5c = 7 + 5c + -5c Combine like terms: 8c + -5c = 3c -5 + 3c = 7 + 5c + -5c Combine like terms: 5c + -5c = 0 -5 + 3c = 7 + 0 -5 + 3c = 7 Add '5' to each side of the equation. -5 + 5 + 3c = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 3c = 7 + 5 3c = 7 + 5 Combine like terms: 7 + 5 = 12 3c = 12 Divide each side by '3'. c = 4 Simplifying c = 4
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