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Simplifying 3(c + -7) = 2c + 14 Reorder the terms: 3(-7 + c) = 2c + 14 (-7 * 3 + c * 3) = 2c + 14 (-21 + 3c) = 2c + 14 Reorder the terms: -21 + 3c = 14 + 2c Solving -21 + 3c = 14 + 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 + 3c + -2c = 14 + 2c + -2c Combine like terms: 3c + -2c = 1c -21 + 1c = 14 + 2c + -2c Combine like terms: 2c + -2c = 0 -21 + 1c = 14 + 0 -21 + 1c = 14 Add '21' to each side of the equation. -21 + 21 + 1c = 14 + 21 Combine like terms: -21 + 21 = 0 0 + 1c = 14 + 21 1c = 14 + 21 Combine like terms: 14 + 21 = 35 1c = 35 Divide each side by '1'. c = 35 Simplifying c = 35
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