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Simplifying 3(6c + 10) + -5(3c + 1) = 1 Reorder the terms: 3(10 + 6c) + -5(3c + 1) = 1 (10 * 3 + 6c * 3) + -5(3c + 1) = 1 (30 + 18c) + -5(3c + 1) = 1 Reorder the terms: 30 + 18c + -5(1 + 3c) = 1 30 + 18c + (1 * -5 + 3c * -5) = 1 30 + 18c + (-5 + -15c) = 1 Reorder the terms: 30 + -5 + 18c + -15c = 1 Combine like terms: 30 + -5 = 25 25 + 18c + -15c = 1 Combine like terms: 18c + -15c = 3c 25 + 3c = 1 Solving 25 + 3c = 1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 3c = 1 + -25 Combine like terms: 25 + -25 = 0 0 + 3c = 1 + -25 3c = 1 + -25 Combine like terms: 1 + -25 = -24 3c = -24 Divide each side by '3'. c = -8 Simplifying c = -8
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