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Simplifying 8c + -1(2c + 4) = 9c + 11 Reorder the terms: 8c + -1(4 + 2c) = 9c + 11 8c + (4 * -1 + 2c * -1) = 9c + 11 8c + (-4 + -2c) = 9c + 11 Reorder the terms: -4 + 8c + -2c = 9c + 11 Combine like terms: 8c + -2c = 6c -4 + 6c = 9c + 11 Reorder the terms: -4 + 6c = 11 + 9c Solving -4 + 6c = 11 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. -4 + 6c + -9c = 11 + 9c + -9c Combine like terms: 6c + -9c = -3c -4 + -3c = 11 + 9c + -9c Combine like terms: 9c + -9c = 0 -4 + -3c = 11 + 0 -4 + -3c = 11 Add '4' to each side of the equation. -4 + 4 + -3c = 11 + 4 Combine like terms: -4 + 4 = 0 0 + -3c = 11 + 4 -3c = 11 + 4 Combine like terms: 11 + 4 = 15 -3c = 15 Divide each side by '-3'. c = -5 Simplifying c = -5
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