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Simplifying 5(c + -3) = 7(6 + -2c) Reorder the terms: 5(-3 + c) = 7(6 + -2c) (-3 * 5 + c * 5) = 7(6 + -2c) (-15 + 5c) = 7(6 + -2c) -15 + 5c = (6 * 7 + -2c * 7) -15 + 5c = (42 + -14c) Solving -15 + 5c = 42 + -14c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '14c' to each side of the equation. -15 + 5c + 14c = 42 + -14c + 14c Combine like terms: 5c + 14c = 19c -15 + 19c = 42 + -14c + 14c Combine like terms: -14c + 14c = 0 -15 + 19c = 42 + 0 -15 + 19c = 42 Add '15' to each side of the equation. -15 + 15 + 19c = 42 + 15 Combine like terms: -15 + 15 = 0 0 + 19c = 42 + 15 19c = 42 + 15 Combine like terms: 42 + 15 = 57 19c = 57 Divide each side by '19'. c = 3 Simplifying c = 3
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