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Simplifying 2(5c + -1) + -6 = 6c + 8 Reorder the terms: 2(-1 + 5c) + -6 = 6c + 8 (-1 * 2 + 5c * 2) + -6 = 6c + 8 (-2 + 10c) + -6 = 6c + 8 Reorder the terms: -2 + -6 + 10c = 6c + 8 Combine like terms: -2 + -6 = -8 -8 + 10c = 6c + 8 Reorder the terms: -8 + 10c = 8 + 6c Solving -8 + 10c = 8 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -8 + 10c + -6c = 8 + 6c + -6c Combine like terms: 10c + -6c = 4c -8 + 4c = 8 + 6c + -6c Combine like terms: 6c + -6c = 0 -8 + 4c = 8 + 0 -8 + 4c = 8 Add '8' to each side of the equation. -8 + 8 + 4c = 8 + 8 Combine like terms: -8 + 8 = 0 0 + 4c = 8 + 8 4c = 8 + 8 Combine like terms: 8 + 8 = 16 4c = 16 Divide each side by '4'. c = 4 Simplifying c = 4
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