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Simplifying 14(2c + 5) = -2c + 9 Reorder the terms: 14(5 + 2c) = -2c + 9 (5 * 14 + 2c * 14) = -2c + 9 (70 + 28c) = -2c + 9 Reorder the terms: 70 + 28c = 9 + -2c Solving 70 + 28c = 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. 70 + 28c + 2c = 9 + -2c + 2c Combine like terms: 28c + 2c = 30c 70 + 30c = 9 + -2c + 2c Combine like terms: -2c + 2c = 0 70 + 30c = 9 + 0 70 + 30c = 9 Add '-70' to each side of the equation. 70 + -70 + 30c = 9 + -70 Combine like terms: 70 + -70 = 0 0 + 30c = 9 + -70 30c = 9 + -70 Combine like terms: 9 + -70 = -61 30c = -61 Divide each side by '30'. c = -2.033333333 Simplifying c = -2.033333333
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