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Simplifying (3a + -4b + -5) + -1(-4b + 9) = 0 Reorder the terms: (-5 + 3a + -4b) + -1(-4b + 9) = 0 Remove parenthesis around (-5 + 3a + -4b) -5 + 3a + -4b + -1(-4b + 9) = 0 Reorder the terms: -5 + 3a + -4b + -1(9 + -4b) = 0 -5 + 3a + -4b + (9 * -1 + -4b * -1) = 0 -5 + 3a + -4b + (-9 + 4b) = 0 Reorder the terms: -5 + -9 + 3a + -4b + 4b = 0 Combine like terms: -5 + -9 = -14 -14 + 3a + -4b + 4b = 0 Combine like terms: -4b + 4b = 0 -14 + 3a + 0 = 0 -14 + 3a = 0 Solving -14 + 3a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3a = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3a = 0 + 14 3a = 0 + 14 Combine like terms: 0 + 14 = 14 3a = 14 Divide each side by '3'. a = 4.666666667 Simplifying a = 4.666666667
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