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Simplifying 18(6c + -1) + -14 = 10c + 18 Reorder the terms: 18(-1 + 6c) + -14 = 10c + 18 (-1 * 18 + 6c * 18) + -14 = 10c + 18 (-18 + 108c) + -14 = 10c + 18 Reorder the terms: -18 + -14 + 108c = 10c + 18 Combine like terms: -18 + -14 = -32 -32 + 108c = 10c + 18 Reorder the terms: -32 + 108c = 18 + 10c Solving -32 + 108c = 18 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -32 + 108c + -10c = 18 + 10c + -10c Combine like terms: 108c + -10c = 98c -32 + 98c = 18 + 10c + -10c Combine like terms: 10c + -10c = 0 -32 + 98c = 18 + 0 -32 + 98c = 18 Add '32' to each side of the equation. -32 + 32 + 98c = 18 + 32 Combine like terms: -32 + 32 = 0 0 + 98c = 18 + 32 98c = 18 + 32 Combine like terms: 18 + 32 = 50 98c = 50 Divide each side by '98'. c = 0.5102040816 Simplifying c = 0.5102040816
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