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Simplifying 5(c + -1) + -2(c + 3) + -2c = -8 Reorder the terms: 5(-1 + c) + -2(c + 3) + -2c = -8 (-1 * 5 + c * 5) + -2(c + 3) + -2c = -8 (-5 + 5c) + -2(c + 3) + -2c = -8 Reorder the terms: -5 + 5c + -2(3 + c) + -2c = -8 -5 + 5c + (3 * -2 + c * -2) + -2c = -8 -5 + 5c + (-6 + -2c) + -2c = -8 Reorder the terms: -5 + -6 + 5c + -2c + -2c = -8 Combine like terms: -5 + -6 = -11 -11 + 5c + -2c + -2c = -8 Combine like terms: 5c + -2c = 3c -11 + 3c + -2c = -8 Combine like terms: 3c + -2c = 1c -11 + 1c = -8 Solving -11 + 1c = -8 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 1c = -8 + 11 Combine like terms: -11 + 11 = 0 0 + 1c = -8 + 11 1c = -8 + 11 Combine like terms: -8 + 11 = 3 1c = 3 Divide each side by '1'. c = 3 Simplifying c = 3
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