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Simplifying 5(3c + -2) + 8 = 43 + 2c Reorder the terms: 5(-2 + 3c) + 8 = 43 + 2c (-2 * 5 + 3c * 5) + 8 = 43 + 2c (-10 + 15c) + 8 = 43 + 2c Reorder the terms: -10 + 8 + 15c = 43 + 2c Combine like terms: -10 + 8 = -2 -2 + 15c = 43 + 2c Solving -2 + 15c = 43 + 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. -2 + 15c + -2c = 43 + 2c + -2c Combine like terms: 15c + -2c = 13c -2 + 13c = 43 + 2c + -2c Combine like terms: 2c + -2c = 0 -2 + 13c = 43 + 0 -2 + 13c = 43 Add '2' to each side of the equation. -2 + 2 + 13c = 43 + 2 Combine like terms: -2 + 2 = 0 0 + 13c = 43 + 2 13c = 43 + 2 Combine like terms: 43 + 2 = 45 13c = 45 Divide each side by '13'. c = 3.461538462 Simplifying c = 3.461538462
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