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Simplifying 5(3c + 2) + 4(c + -7) = 20 Reorder the terms: 5(2 + 3c) + 4(c + -7) = 20 (2 * 5 + 3c * 5) + 4(c + -7) = 20 (10 + 15c) + 4(c + -7) = 20 Reorder the terms: 10 + 15c + 4(-7 + c) = 20 10 + 15c + (-7 * 4 + c * 4) = 20 10 + 15c + (-28 + 4c) = 20 Reorder the terms: 10 + -28 + 15c + 4c = 20 Combine like terms: 10 + -28 = -18 -18 + 15c + 4c = 20 Combine like terms: 15c + 4c = 19c -18 + 19c = 20 Solving -18 + 19c = 20 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 19c = 20 + 18 Combine like terms: -18 + 18 = 0 0 + 19c = 20 + 18 19c = 20 + 18 Combine like terms: 20 + 18 = 38 19c = 38 Divide each side by '19'. c = 2 Simplifying c = 2
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