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Simplifying 5(2c + -2 + c2) = 5c2 + -15 Reorder the terms: 5(-2 + 2c + c2) = 5c2 + -15 (-2 * 5 + 2c * 5 + c2 * 5) = 5c2 + -15 (-10 + 10c + 5c2) = 5c2 + -15 Reorder the terms: -10 + 10c + 5c2 = -15 + 5c2 Add '-5c2' to each side of the equation. -10 + 10c + 5c2 + -5c2 = -15 + 5c2 + -5c2 Combine like terms: 5c2 + -5c2 = 0 -10 + 10c + 0 = -15 + 5c2 + -5c2 -10 + 10c = -15 + 5c2 + -5c2 Combine like terms: 5c2 + -5c2 = 0 -10 + 10c = -15 + 0 -10 + 10c = -15 Solving -10 + 10c = -15 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 10c = -15 + 10 Combine like terms: -10 + 10 = 0 0 + 10c = -15 + 10 10c = -15 + 10 Combine like terms: -15 + 10 = -5 10c = -5 Divide each side by '10'. c = -0.5 Simplifying c = -0.5
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