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Simplifying 6c + -3(c + 1) = 5(c + 2) Reorder the terms: 6c + -3(1 + c) = 5(c + 2) 6c + (1 * -3 + c * -3) = 5(c + 2) 6c + (-3 + -3c) = 5(c + 2) Reorder the terms: -3 + 6c + -3c = 5(c + 2) Combine like terms: 6c + -3c = 3c -3 + 3c = 5(c + 2) Reorder the terms: -3 + 3c = 5(2 + c) -3 + 3c = (2 * 5 + c * 5) -3 + 3c = (10 + 5c) Solving -3 + 3c = 10 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -3 + 3c + -5c = 10 + 5c + -5c Combine like terms: 3c + -5c = -2c -3 + -2c = 10 + 5c + -5c Combine like terms: 5c + -5c = 0 -3 + -2c = 10 + 0 -3 + -2c = 10 Add '3' to each side of the equation. -3 + 3 + -2c = 10 + 3 Combine like terms: -3 + 3 = 0 0 + -2c = 10 + 3 -2c = 10 + 3 Combine like terms: 10 + 3 = 13 -2c = 13 Divide each side by '-2'. c = -6.5 Simplifying c = -6.5
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