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Simplifying 7(2c + -3) = 2c + 8 Reorder the terms: 7(-3 + 2c) = 2c + 8 (-3 * 7 + 2c * 7) = 2c + 8 (-21 + 14c) = 2c + 8 Reorder the terms: -21 + 14c = 8 + 2c Solving -21 + 14c = 8 + 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 + 14c + -2c = 8 + 2c + -2c Combine like terms: 14c + -2c = 12c -21 + 12c = 8 + 2c + -2c Combine like terms: 2c + -2c = 0 -21 + 12c = 8 + 0 -21 + 12c = 8 Add '21' to each side of the equation. -21 + 21 + 12c = 8 + 21 Combine like terms: -21 + 21 = 0 0 + 12c = 8 + 21 12c = 8 + 21 Combine like terms: 8 + 21 = 29 12c = 29 Divide each side by '12'. c = 2.416666667 Simplifying c = 2.416666667
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