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Simplifying (8c + 3) + 12(4c + -10) = 0 Reorder the terms: (3 + 8c) + 12(4c + -10) = 0 Remove parenthesis around (3 + 8c) 3 + 8c + 12(4c + -10) = 0 Reorder the terms: 3 + 8c + 12(-10 + 4c) = 0 3 + 8c + (-10 * 12 + 4c * 12) = 0 3 + 8c + (-120 + 48c) = 0 Reorder the terms: 3 + -120 + 8c + 48c = 0 Combine like terms: 3 + -120 = -117 -117 + 8c + 48c = 0 Combine like terms: 8c + 48c = 56c -117 + 56c = 0 Solving -117 + 56c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '117' to each side of the equation. -117 + 117 + 56c = 0 + 117 Combine like terms: -117 + 117 = 0 0 + 56c = 0 + 117 56c = 0 + 117 Combine like terms: 0 + 117 = 117 56c = 117 Divide each side by '56'. c = 2.089285714 Simplifying c = 2.089285714
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