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Simplifying 2(c + -3) + 2c = 2(10 + -1c) Reorder the terms: 2(-3 + c) + 2c = 2(10 + -1c) (-3 * 2 + c * 2) + 2c = 2(10 + -1c) (-6 + 2c) + 2c = 2(10 + -1c) Combine like terms: 2c + 2c = 4c -6 + 4c = 2(10 + -1c) -6 + 4c = (10 * 2 + -1c * 2) -6 + 4c = (20 + -2c) Solving -6 + 4c = 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. -6 + 4c + 2c = 20 + -2c + 2c Combine like terms: 4c + 2c = 6c -6 + 6c = 20 + -2c + 2c Combine like terms: -2c + 2c = 0 -6 + 6c = 20 + 0 -6 + 6c = 20 Add '6' to each side of the equation. -6 + 6 + 6c = 20 + 6 Combine like terms: -6 + 6 = 0 0 + 6c = 20 + 6 6c = 20 + 6 Combine like terms: 20 + 6 = 26 6c = 26 Divide each side by '6'. c = 4.333333333 Simplifying c = 4.333333333
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