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Simplifying 10(7 + -2(3 + -2c) + -8c) = 0 10(7 + (3 * -2 + -2c * -2) + -8c) = 0 10(7 + (-6 + 4c) + -8c) = 0 Combine like terms: 7 + -6 = 1 10(1 + 4c + -8c) = 0 Combine like terms: 4c + -8c = -4c 10(1 + -4c) = 0 (1 * 10 + -4c * 10) = 0 (10 + -40c) = 0 Solving 10 + -40c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -40c = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -40c = 0 + -10 -40c = 0 + -10 Combine like terms: 0 + -10 = -10 -40c = -10 Divide each side by '-40'. c = 0.25 Simplifying c = 0.25
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