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Simplifying 7(c + -3) = 2c + 9 Reorder the terms: 7(-3 + c) = 2c + 9 (-3 * 7 + c * 7) = 2c + 9 (-21 + 7c) = 2c + 9 Reorder the terms: -21 + 7c = 9 + 2c Solving -21 + 7c = 9 + 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. -21 + 7c + -2c = 9 + 2c + -2c Combine like terms: 7c + -2c = 5c -21 + 5c = 9 + 2c + -2c Combine like terms: 2c + -2c = 0 -21 + 5c = 9 + 0 -21 + 5c = 9 Add '21' to each side of the equation. -21 + 21 + 5c = 9 + 21 Combine like terms: -21 + 21 = 0 0 + 5c = 9 + 21 5c = 9 + 21 Combine like terms: 9 + 21 = 30 5c = 30 Divide each side by '5'. c = 6 Simplifying c = 6
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