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Simplifying 5(3c + 2) + -4(c + 8) = 0 Reorder the terms: 5(2 + 3c) + -4(c + 8) = 0 (2 * 5 + 3c * 5) + -4(c + 8) = 0 (10 + 15c) + -4(c + 8) = 0 Reorder the terms: 10 + 15c + -4(8 + c) = 0 10 + 15c + (8 * -4 + c * -4) = 0 10 + 15c + (-32 + -4c) = 0 Reorder the terms: 10 + -32 + 15c + -4c = 0 Combine like terms: 10 + -32 = -22 -22 + 15c + -4c = 0 Combine like terms: 15c + -4c = 11c -22 + 11c = 0 Solving -22 + 11c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + 11c = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 11c = 0 + 22 11c = 0 + 22 Combine like terms: 0 + 22 = 22 11c = 22 Divide each side by '11'. c = 2 Simplifying c = 2
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