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Simplifying -10c + 8(3c + -6) = 9c + 2 Reorder the terms: -10c + 8(-6 + 3c) = 9c + 2 -10c + (-6 * 8 + 3c * 8) = 9c + 2 -10c + (-48 + 24c) = 9c + 2 Reorder the terms: -48 + -10c + 24c = 9c + 2 Combine like terms: -10c + 24c = 14c -48 + 14c = 9c + 2 Reorder the terms: -48 + 14c = 2 + 9c Solving -48 + 14c = 2 + 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. -48 + 14c + -9c = 2 + 9c + -9c Combine like terms: 14c + -9c = 5c -48 + 5c = 2 + 9c + -9c Combine like terms: 9c + -9c = 0 -48 + 5c = 2 + 0 -48 + 5c = 2 Add '48' to each side of the equation. -48 + 48 + 5c = 2 + 48 Combine like terms: -48 + 48 = 0 0 + 5c = 2 + 48 5c = 2 + 48 Combine like terms: 2 + 48 = 50 5c = 50 Divide each side by '5'. c = 10 Simplifying c = 10
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