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Simplifying 14(8c + -3) = 2c + -9 Reorder the terms: 14(-3 + 8c) = 2c + -9 (-3 * 14 + 8c * 14) = 2c + -9 (-42 + 112c) = 2c + -9 Reorder the terms: -42 + 112c = -9 + 2c Solving -42 + 112c = -9 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -42 + 112c + -2c = -9 + 2c + -2c Combine like terms: 112c + -2c = 110c -42 + 110c = -9 + 2c + -2c Combine like terms: 2c + -2c = 0 -42 + 110c = -9 + 0 -42 + 110c = -9 Add '42' to each side of the equation. -42 + 42 + 110c = -9 + 42 Combine like terms: -42 + 42 = 0 0 + 110c = -9 + 42 110c = -9 + 42 Combine like terms: -9 + 42 = 33 110c = 33 Divide each side by '110'. c = 0.3 Simplifying c = 0.3
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