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Simplifying 5(3c + -2) + -7c = 40 + -2 Reorder the terms: 5(-2 + 3c) + -7c = 40 + -2 (-2 * 5 + 3c * 5) + -7c = 40 + -2 (-10 + 15c) + -7c = 40 + -2 Combine like terms: 15c + -7c = 8c -10 + 8c = 40 + -2 Combine like terms: 40 + -2 = 38 -10 + 8c = 38 Solving -10 + 8c = 38 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 + 8c = 38 + 10 Combine like terms: -10 + 10 = 0 0 + 8c = 38 + 10 8c = 38 + 10 Combine like terms: 38 + 10 = 48 8c = 48 Divide each side by '8'. c = 6 Simplifying c = 6
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