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Simplifying 4(6a + -5) + -1(9a + 1) = 0 Reorder the terms: 4(-5 + 6a) + -1(9a + 1) = 0 (-5 * 4 + 6a * 4) + -1(9a + 1) = 0 (-20 + 24a) + -1(9a + 1) = 0 Reorder the terms: -20 + 24a + -1(1 + 9a) = 0 -20 + 24a + (1 * -1 + 9a * -1) = 0 -20 + 24a + (-1 + -9a) = 0 Reorder the terms: -20 + -1 + 24a + -9a = 0 Combine like terms: -20 + -1 = -21 -21 + 24a + -9a = 0 Combine like terms: 24a + -9a = 15a -21 + 15a = 0 Solving -21 + 15a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 15a = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 15a = 0 + 21 15a = 0 + 21 Combine like terms: 0 + 21 = 21 15a = 21 Divide each side by '15'. a = 1.4 Simplifying a = 1.4
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