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Simplifying -1(5a + -7) + -3(a + -9) = 0 Reorder the terms: -1(-7 + 5a) + -3(a + -9) = 0 (-7 * -1 + 5a * -1) + -3(a + -9) = 0 (7 + -5a) + -3(a + -9) = 0 Reorder the terms: 7 + -5a + -3(-9 + a) = 0 7 + -5a + (-9 * -3 + a * -3) = 0 7 + -5a + (27 + -3a) = 0 Reorder the terms: 7 + 27 + -5a + -3a = 0 Combine like terms: 7 + 27 = 34 34 + -5a + -3a = 0 Combine like terms: -5a + -3a = -8a 34 + -8a = 0 Solving 34 + -8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + -8a = 0 + -34 Combine like terms: 34 + -34 = 0 0 + -8a = 0 + -34 -8a = 0 + -34 Combine like terms: 0 + -34 = -34 -8a = -34 Divide each side by '-8'. a = 4.25 Simplifying a = 4.25
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