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Simplifying 22 + -2c = 5(6c + 8) Reorder the terms: 22 + -2c = 5(8 + 6c) 22 + -2c = (8 * 5 + 6c * 5) 22 + -2c = (40 + 30c) Solving 22 + -2c = 40 + 30c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-30c' to each side of the equation. 22 + -2c + -30c = 40 + 30c + -30c Combine like terms: -2c + -30c = -32c 22 + -32c = 40 + 30c + -30c Combine like terms: 30c + -30c = 0 22 + -32c = 40 + 0 22 + -32c = 40 Add '-22' to each side of the equation. 22 + -22 + -32c = 40 + -22 Combine like terms: 22 + -22 = 0 0 + -32c = 40 + -22 -32c = 40 + -22 Combine like terms: 40 + -22 = 18 -32c = 18 Divide each side by '-32'. c = -0.5625 Simplifying c = -0.5625
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