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Simplifying 6(3c + 5) + -8(4c + 5) = 0 Reorder the terms: 6(5 + 3c) + -8(4c + 5) = 0 (5 * 6 + 3c * 6) + -8(4c + 5) = 0 (30 + 18c) + -8(4c + 5) = 0 Reorder the terms: 30 + 18c + -8(5 + 4c) = 0 30 + 18c + (5 * -8 + 4c * -8) = 0 30 + 18c + (-40 + -32c) = 0 Reorder the terms: 30 + -40 + 18c + -32c = 0 Combine like terms: 30 + -40 = -10 -10 + 18c + -32c = 0 Combine like terms: 18c + -32c = -14c -10 + -14c = 0 Solving -10 + -14c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -14c = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -14c = 0 + 10 -14c = 0 + 10 Combine like terms: 0 + 10 = 10 -14c = 10 Divide each side by '-14'. c = -0.7142857143 Simplifying c = -0.7142857143
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