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Simplifying 14(2c + -9) = 5c + -2 Reorder the terms: 14(-9 + 2c) = 5c + -2 (-9 * 14 + 2c * 14) = 5c + -2 (-126 + 28c) = 5c + -2 Reorder the terms: -126 + 28c = -2 + 5c Solving -126 + 28c = -2 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -126 + 28c + -5c = -2 + 5c + -5c Combine like terms: 28c + -5c = 23c -126 + 23c = -2 + 5c + -5c Combine like terms: 5c + -5c = 0 -126 + 23c = -2 + 0 -126 + 23c = -2 Add '126' to each side of the equation. -126 + 126 + 23c = -2 + 126 Combine like terms: -126 + 126 = 0 0 + 23c = -2 + 126 23c = -2 + 126 Combine like terms: -2 + 126 = 124 23c = 124 Divide each side by '23'. c = 5.391304348 Simplifying c = 5.391304348
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