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Simplifying 5(2c + -3) + 4(c + 3) = 0 Reorder the terms: 5(-3 + 2c) + 4(c + 3) = 0 (-3 * 5 + 2c * 5) + 4(c + 3) = 0 (-15 + 10c) + 4(c + 3) = 0 Reorder the terms: -15 + 10c + 4(3 + c) = 0 -15 + 10c + (3 * 4 + c * 4) = 0 -15 + 10c + (12 + 4c) = 0 Reorder the terms: -15 + 12 + 10c + 4c = 0 Combine like terms: -15 + 12 = -3 -3 + 10c + 4c = 0 Combine like terms: 10c + 4c = 14c -3 + 14c = 0 Solving -3 + 14c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 14c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 14c = 0 + 3 14c = 0 + 3 Combine like terms: 0 + 3 = 3 14c = 3 Divide each side by '14'. c = 0.2142857143 Simplifying c = 0.2142857143
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