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Simplifying 5(3c + -2) + 8 = 45 Reorder the terms: 5(-2 + 3c) + 8 = 45 (-2 * 5 + 3c * 5) + 8 = 45 (-10 + 15c) + 8 = 45 Reorder the terms: -10 + 8 + 15c = 45 Combine like terms: -10 + 8 = -2 -2 + 15c = 45 Solving -2 + 15c = 45 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 + 15c = 45 + 2 Combine like terms: -2 + 2 = 0 0 + 15c = 45 + 2 15c = 45 + 2 Combine like terms: 45 + 2 = 47 15c = 47 Divide each side by '15'. c = 3.133333333 Simplifying c = 3.133333333
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