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Simplifying 5(c + -3) + -1(5 + -1c) = 0 Reorder the terms: 5(-3 + c) + -1(5 + -1c) = 0 (-3 * 5 + c * 5) + -1(5 + -1c) = 0 (-15 + 5c) + -1(5 + -1c) = 0 -15 + 5c + (5 * -1 + -1c * -1) = 0 -15 + 5c + (-5 + 1c) = 0 Reorder the terms: -15 + -5 + 5c + 1c = 0 Combine like terms: -15 + -5 = -20 -20 + 5c + 1c = 0 Combine like terms: 5c + 1c = 6c -20 + 6c = 0 Solving -20 + 6c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 6c = 0 + 20 Combine like terms: -20 + 20 = 0 0 + 6c = 0 + 20 6c = 0 + 20 Combine like terms: 0 + 20 = 20 6c = 20 Divide each side by '6'. c = 3.333333333 Simplifying c = 3.333333333
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