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Simplifying 9(3a + -5) = 3(-1a + -5) Reorder the terms: 9(-5 + 3a) = 3(-1a + -5) (-5 * 9 + 3a * 9) = 3(-1a + -5) (-45 + 27a) = 3(-1a + -5) Reorder the terms: -45 + 27a = 3(-5 + -1a) -45 + 27a = (-5 * 3 + -1a * 3) -45 + 27a = (-15 + -3a) Solving -45 + 27a = -15 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -45 + 27a + 3a = -15 + -3a + 3a Combine like terms: 27a + 3a = 30a -45 + 30a = -15 + -3a + 3a Combine like terms: -3a + 3a = 0 -45 + 30a = -15 + 0 -45 + 30a = -15 Add '45' to each side of the equation. -45 + 45 + 30a = -15 + 45 Combine like terms: -45 + 45 = 0 0 + 30a = -15 + 45 30a = -15 + 45 Combine like terms: -15 + 45 = 30 30a = 30 Divide each side by '30'. a = 1 Simplifying a = 1
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