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Simplifying -5(x + -3) + 2(a + -9) = 0 Reorder the terms: -5(-3 + x) + 2(a + -9) = 0 (-3 * -5 + x * -5) + 2(a + -9) = 0 (15 + -5x) + 2(a + -9) = 0 Reorder the terms: 15 + -5x + 2(-9 + a) = 0 15 + -5x + (-9 * 2 + a * 2) = 0 15 + -5x + (-18 + 2a) = 0 Reorder the terms: 15 + -18 + 2a + -5x = 0 Combine like terms: 15 + -18 = -3 -3 + 2a + -5x = 0 Solving -3 + 2a + -5x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2a + 3 + -5x = 0 + 3 Reorder the terms: -3 + 3 + 2a + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2a + -5x = 0 + 3 2a + -5x = 0 + 3 Combine like terms: 0 + 3 = 3 2a + -5x = 3 Add '5x' to each side of the equation. 2a + -5x + 5x = 3 + 5x Combine like terms: -5x + 5x = 0 2a + 0 = 3 + 5x 2a = 3 + 5x Divide each side by '2'. a = 1.5 + 2.5x Simplifying a = 1.5 + 2.5x
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