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Simplifying 5(3c + 2) + -2(9c + 4) = 14 Reorder the terms: 5(2 + 3c) + -2(9c + 4) = 14 (2 * 5 + 3c * 5) + -2(9c + 4) = 14 (10 + 15c) + -2(9c + 4) = 14 Reorder the terms: 10 + 15c + -2(4 + 9c) = 14 10 + 15c + (4 * -2 + 9c * -2) = 14 10 + 15c + (-8 + -18c) = 14 Reorder the terms: 10 + -8 + 15c + -18c = 14 Combine like terms: 10 + -8 = 2 2 + 15c + -18c = 14 Combine like terms: 15c + -18c = -3c 2 + -3c = 14 Solving 2 + -3c = 14 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3c = 14 + -2 Combine like terms: 2 + -2 = 0 0 + -3c = 14 + -2 -3c = 14 + -2 Combine like terms: 14 + -2 = 12 -3c = 12 Divide each side by '-3'. c = -4 Simplifying c = -4
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