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Simplifying 3(c + -2) = 5(c + 2) Reorder the terms: 3(-2 + c) = 5(c + 2) (-2 * 3 + c * 3) = 5(c + 2) (-6 + 3c) = 5(c + 2) Reorder the terms: -6 + 3c = 5(2 + c) -6 + 3c = (2 * 5 + c * 5) -6 + 3c = (10 + 5c) Solving -6 + 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. -6 + 3c + -5c = 10 + 5c + -5c Combine like terms: 3c + -5c = -2c -6 + -2c = 10 + 5c + -5c Combine like terms: 5c + -5c = 0 -6 + -2c = 10 + 0 -6 + -2c = 10 Add '6' to each side of the equation. -6 + 6 + -2c = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -2c = 10 + 6 -2c = 10 + 6 Combine like terms: 10 + 6 = 16 -2c = 16 Divide each side by '-2'. c = -8 Simplifying c = -8
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