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Simplifying 7(2c + -1) + -3 = 6 + 6c Reorder the terms: 7(-1 + 2c) + -3 = 6 + 6c (-1 * 7 + 2c * 7) + -3 = 6 + 6c (-7 + 14c) + -3 = 6 + 6c Reorder the terms: -7 + -3 + 14c = 6 + 6c Combine like terms: -7 + -3 = -10 -10 + 14c = 6 + 6c Solving -10 + 14c = 6 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -10 + 14c + -6c = 6 + 6c + -6c Combine like terms: 14c + -6c = 8c -10 + 8c = 6 + 6c + -6c Combine like terms: 6c + -6c = 0 -10 + 8c = 6 + 0 -10 + 8c = 6 Add '10' to each side of the equation. -10 + 10 + 8c = 6 + 10 Combine like terms: -10 + 10 = 0 0 + 8c = 6 + 10 8c = 6 + 10 Combine like terms: 6 + 10 = 16 8c = 16 Divide each side by '8'. c = 2 Simplifying c = 2
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