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Simplifying 3(2c + -1) = 2(10 + -1c) Reorder the terms: 3(-1 + 2c) = 2(10 + -1c) (-1 * 3 + 2c * 3) = 2(10 + -1c) (-3 + 6c) = 2(10 + -1c) -3 + 6c = (10 * 2 + -1c * 2) -3 + 6c = (20 + -2c) Solving -3 + 6c = 20 + -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. -3 + 6c + 2c = 20 + -2c + 2c Combine like terms: 6c + 2c = 8c -3 + 8c = 20 + -2c + 2c Combine like terms: -2c + 2c = 0 -3 + 8c = 20 + 0 -3 + 8c = 20 Add '3' to each side of the equation. -3 + 3 + 8c = 20 + 3 Combine like terms: -3 + 3 = 0 0 + 8c = 20 + 3 8c = 20 + 3 Combine like terms: 20 + 3 = 23 8c = 23 Divide each side by '8'. c = 2.875 Simplifying c = 2.875
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