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Simplifying 7c + -6 = 7(2c + 3) Reorder the terms: -6 + 7c = 7(2c + 3) Reorder the terms: -6 + 7c = 7(3 + 2c) -6 + 7c = (3 * 7 + 2c * 7) -6 + 7c = (21 + 14c) Solving -6 + 7c = 21 + 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. -6 + 7c + -14c = 21 + 14c + -14c Combine like terms: 7c + -14c = -7c -6 + -7c = 21 + 14c + -14c Combine like terms: 14c + -14c = 0 -6 + -7c = 21 + 0 -6 + -7c = 21 Add '6' to each side of the equation. -6 + 6 + -7c = 21 + 6 Combine like terms: -6 + 6 = 0 0 + -7c = 21 + 6 -7c = 21 + 6 Combine like terms: 21 + 6 = 27 -7c = 27 Divide each side by '-7'. c = -3.857142857 Simplifying c = -3.857142857
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