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Simplifying 9c + -8 = 4(2c + 3) Reorder the terms: -8 + 9c = 4(2c + 3) Reorder the terms: -8 + 9c = 4(3 + 2c) -8 + 9c = (3 * 4 + 2c * 4) -8 + 9c = (12 + 8c) Solving -8 + 9c = 12 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -8 + 9c + -8c = 12 + 8c + -8c Combine like terms: 9c + -8c = 1c -8 + 1c = 12 + 8c + -8c Combine like terms: 8c + -8c = 0 -8 + 1c = 12 + 0 -8 + 1c = 12 Add '8' to each side of the equation. -8 + 8 + 1c = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 1c = 12 + 8 1c = 12 + 8 Combine like terms: 12 + 8 = 20 1c = 20 Divide each side by '1'. c = 20 Simplifying c = 20
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