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Simplifying 2(3c + -5) + -1(5c + 4) = 4 Reorder the terms: 2(-5 + 3c) + -1(5c + 4) = 4 (-5 * 2 + 3c * 2) + -1(5c + 4) = 4 (-10 + 6c) + -1(5c + 4) = 4 Reorder the terms: -10 + 6c + -1(4 + 5c) = 4 -10 + 6c + (4 * -1 + 5c * -1) = 4 -10 + 6c + (-4 + -5c) = 4 Reorder the terms: -10 + -4 + 6c + -5c = 4 Combine like terms: -10 + -4 = -14 -14 + 6c + -5c = 4 Combine like terms: 6c + -5c = 1c -14 + 1c = 4 Solving -14 + 1c = 4 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 1c = 4 + 14 Combine like terms: -14 + 14 = 0 0 + 1c = 4 + 14 1c = 4 + 14 Combine like terms: 4 + 14 = 18 1c = 18 Divide each side by '1'. c = 18 Simplifying c = 18
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