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Simplifying 5(4 + -3c) + -6(2c + 1) = 0 (4 * 5 + -3c * 5) + -6(2c + 1) = 0 (20 + -15c) + -6(2c + 1) = 0 Reorder the terms: 20 + -15c + -6(1 + 2c) = 0 20 + -15c + (1 * -6 + 2c * -6) = 0 20 + -15c + (-6 + -12c) = 0 Reorder the terms: 20 + -6 + -15c + -12c = 0 Combine like terms: 20 + -6 = 14 14 + -15c + -12c = 0 Combine like terms: -15c + -12c = -27c 14 + -27c = 0 Solving 14 + -27c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -27c = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -27c = 0 + -14 -27c = 0 + -14 Combine like terms: 0 + -14 = -14 -27c = -14 Divide each side by '-27'. c = 0.5185185185 Simplifying c = 0.5185185185
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