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Simplifying 7n + -3 + 2c = 5c + -8 + 1 Reorder the terms: -3 + 2c + 7n = 5c + -8 + 1 Reorder the terms: -3 + 2c + 7n = -8 + 1 + 5c Combine like terms: -8 + 1 = -7 -3 + 2c + 7n = -7 + 5c Solving -3 + 2c + 7n = -7 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -3 + 2c + -5c + 7n = -7 + 5c + -5c Combine like terms: 2c + -5c = -3c -3 + -3c + 7n = -7 + 5c + -5c Combine like terms: 5c + -5c = 0 -3 + -3c + 7n = -7 + 0 -3 + -3c + 7n = -7 Add '3' to each side of the equation. -3 + -3c + 3 + 7n = -7 + 3 Reorder the terms: -3 + 3 + -3c + 7n = -7 + 3 Combine like terms: -3 + 3 = 0 0 + -3c + 7n = -7 + 3 -3c + 7n = -7 + 3 Combine like terms: -7 + 3 = -4 -3c + 7n = -4 Add '-7n' to each side of the equation. -3c + 7n + -7n = -4 + -7n Combine like terms: 7n + -7n = 0 -3c + 0 = -4 + -7n -3c = -4 + -7n Divide each side by '-3'. c = 1.333333333 + 2.333333333n Simplifying c = 1.333333333 + 2.333333333n
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