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Simplifying 28 + -14c = -2c + 5(3c + -2) Reorder the terms: 28 + -14c = -2c + 5(-2 + 3c) 28 + -14c = -2c + (-2 * 5 + 3c * 5) 28 + -14c = -2c + (-10 + 15c) Reorder the terms: 28 + -14c = -10 + -2c + 15c Combine like terms: -2c + 15c = 13c 28 + -14c = -10 + 13c Solving 28 + -14c = -10 + 13c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-13c' to each side of the equation. 28 + -14c + -13c = -10 + 13c + -13c Combine like terms: -14c + -13c = -27c 28 + -27c = -10 + 13c + -13c Combine like terms: 13c + -13c = 0 28 + -27c = -10 + 0 28 + -27c = -10 Add '-28' to each side of the equation. 28 + -28 + -27c = -10 + -28 Combine like terms: 28 + -28 = 0 0 + -27c = -10 + -28 -27c = -10 + -28 Combine like terms: -10 + -28 = -38 -27c = -38 Divide each side by '-27'. c = 1.407407407 Simplifying c = 1.407407407
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