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Simplifying 7(5c + -4) = 15 + -8c Reorder the terms: 7(-4 + 5c) = 15 + -8c (-4 * 7 + 5c * 7) = 15 + -8c (-28 + 35c) = 15 + -8c Solving -28 + 35c = 15 + -8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '8c' to each side of the equation. -28 + 35c + 8c = 15 + -8c + 8c Combine like terms: 35c + 8c = 43c -28 + 43c = 15 + -8c + 8c Combine like terms: -8c + 8c = 0 -28 + 43c = 15 + 0 -28 + 43c = 15 Add '28' to each side of the equation. -28 + 28 + 43c = 15 + 28 Combine like terms: -28 + 28 = 0 0 + 43c = 15 + 28 43c = 15 + 28 Combine like terms: 15 + 28 = 43 43c = 43 Divide each side by '43'. c = 1 Simplifying c = 1
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