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Simplifying 6(4a + -3) + -10x = 0 Reorder the terms: 6(-3 + 4a) + -10x = 0 (-3 * 6 + 4a * 6) + -10x = 0 (-18 + 24a) + -10x = 0 Solving -18 + 24a + -10x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 24a + 18 + -10x = 0 + 18 Reorder the terms: -18 + 18 + 24a + -10x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 24a + -10x = 0 + 18 24a + -10x = 0 + 18 Combine like terms: 0 + 18 = 18 24a + -10x = 18 Add '10x' to each side of the equation. 24a + -10x + 10x = 18 + 10x Combine like terms: -10x + 10x = 0 24a + 0 = 18 + 10x 24a = 18 + 10x Divide each side by '24'. a = 0.75 + 0.4166666667x Simplifying a = 0.75 + 0.4166666667x
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