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Simplifying 10c = 8 + 8(2c + -10) Reorder the terms: 10c = 8 + 8(-10 + 2c) 10c = 8 + (-10 * 8 + 2c * 8) 10c = 8 + (-80 + 16c) Combine like terms: 8 + -80 = -72 10c = -72 + 16c Solving 10c = -72 + 16c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16c' to each side of the equation. 10c + -16c = -72 + 16c + -16c Combine like terms: 10c + -16c = -6c -6c = -72 + 16c + -16c Combine like terms: 16c + -16c = 0 -6c = -72 + 0 -6c = -72 Divide each side by '-6'. c = 12 Simplifying c = 12
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