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Simplifying 8(c + -3) + 5(c + 2) = 0 Reorder the terms: 8(-3 + c) + 5(c + 2) = 0 (-3 * 8 + c * 8) + 5(c + 2) = 0 (-24 + 8c) + 5(c + 2) = 0 Reorder the terms: -24 + 8c + 5(2 + c) = 0 -24 + 8c + (2 * 5 + c * 5) = 0 -24 + 8c + (10 + 5c) = 0 Reorder the terms: -24 + 10 + 8c + 5c = 0 Combine like terms: -24 + 10 = -14 -14 + 8c + 5c = 0 Combine like terms: 8c + 5c = 13c -14 + 13c = 0 Solving -14 + 13c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 13c = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 13c = 0 + 14 13c = 0 + 14 Combine like terms: 0 + 14 = 14 13c = 14 Divide each side by '13'. c = 1.076923077 Simplifying c = 1.076923077
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