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Simplifying -31 = 7(2c + 3) Reorder the terms: -31 = 7(3 + 2c) -31 = (3 * 7 + 2c * 7) -31 = (21 + 14c) Solving -31 = 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. -31 + -14c = 21 + 14c + -14c Combine like terms: 14c + -14c = 0 -31 + -14c = 21 + 0 -31 + -14c = 21 Add '31' to each side of the equation. -31 + 31 + -14c = 21 + 31 Combine like terms: -31 + 31 = 0 0 + -14c = 21 + 31 -14c = 21 + 31 Combine like terms: 21 + 31 = 52 -14c = 52 Divide each side by '-14'. c = -3.714285714 Simplifying c = -3.714285714
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