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Simplifying 2(4c + -1) + -4 = 5c + 9 Reorder the terms: 2(-1 + 4c) + -4 = 5c + 9 (-1 * 2 + 4c * 2) + -4 = 5c + 9 (-2 + 8c) + -4 = 5c + 9 Reorder the terms: -2 + -4 + 8c = 5c + 9 Combine like terms: -2 + -4 = -6 -6 + 8c = 5c + 9 Reorder the terms: -6 + 8c = 9 + 5c Solving -6 + 8c = 9 + 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. -6 + 8c + -5c = 9 + 5c + -5c Combine like terms: 8c + -5c = 3c -6 + 3c = 9 + 5c + -5c Combine like terms: 5c + -5c = 0 -6 + 3c = 9 + 0 -6 + 3c = 9 Add '6' to each side of the equation. -6 + 6 + 3c = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3c = 9 + 6 3c = 9 + 6 Combine like terms: 9 + 6 = 15 3c = 15 Divide each side by '3'. c = 5 Simplifying c = 5
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