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Simplifying 4(3c + -7) + 3(5c + 7) = 56 Reorder the terms: 4(-7 + 3c) + 3(5c + 7) = 56 (-7 * 4 + 3c * 4) + 3(5c + 7) = 56 (-28 + 12c) + 3(5c + 7) = 56 Reorder the terms: -28 + 12c + 3(7 + 5c) = 56 -28 + 12c + (7 * 3 + 5c * 3) = 56 -28 + 12c + (21 + 15c) = 56 Reorder the terms: -28 + 21 + 12c + 15c = 56 Combine like terms: -28 + 21 = -7 -7 + 12c + 15c = 56 Combine like terms: 12c + 15c = 27c -7 + 27c = 56 Solving -7 + 27c = 56 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 27c = 56 + 7 Combine like terms: -7 + 7 = 0 0 + 27c = 56 + 7 27c = 56 + 7 Combine like terms: 56 + 7 = 63 27c = 63 Divide each side by '27'. c = 2.333333333 Simplifying c = 2.333333333
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