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Simplifying 2(4c + -1) + -4 = 7c + 8 Reorder the terms: 2(-1 + 4c) + -4 = 7c + 8 (-1 * 2 + 4c * 2) + -4 = 7c + 8 (-2 + 8c) + -4 = 7c + 8 Reorder the terms: -2 + -4 + 8c = 7c + 8 Combine like terms: -2 + -4 = -6 -6 + 8c = 7c + 8 Reorder the terms: -6 + 8c = 8 + 7c Solving -6 + 8c = 8 + 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. -6 + 8c + -7c = 8 + 7c + -7c Combine like terms: 8c + -7c = 1c -6 + 1c = 8 + 7c + -7c Combine like terms: 7c + -7c = 0 -6 + 1c = 8 + 0 -6 + 1c = 8 Add '6' to each side of the equation. -6 + 6 + 1c = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 1c = 8 + 6 1c = 8 + 6 Combine like terms: 8 + 6 = 14 1c = 14 Divide each side by '1'. c = 14 Simplifying c = 14
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