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Simplifying 9(2a + -3) + -5(3a + -2) = -1a + 9(a + -8) Reorder the terms: 9(-3 + 2a) + -5(3a + -2) = -1a + 9(a + -8) (-3 * 9 + 2a * 9) + -5(3a + -2) = -1a + 9(a + -8) (-27 + 18a) + -5(3a + -2) = -1a + 9(a + -8) Reorder the terms: -27 + 18a + -5(-2 + 3a) = -1a + 9(a + -8) -27 + 18a + (-2 * -5 + 3a * -5) = -1a + 9(a + -8) -27 + 18a + (10 + -15a) = -1a + 9(a + -8) Reorder the terms: -27 + 10 + 18a + -15a = -1a + 9(a + -8) Combine like terms: -27 + 10 = -17 -17 + 18a + -15a = -1a + 9(a + -8) Combine like terms: 18a + -15a = 3a -17 + 3a = -1a + 9(a + -8) Reorder the terms: -17 + 3a = -1a + 9(-8 + a) -17 + 3a = -1a + (-8 * 9 + a * 9) -17 + 3a = -1a + (-72 + 9a) Reorder the terms: -17 + 3a = -72 + -1a + 9a Combine like terms: -1a + 9a = 8a -17 + 3a = -72 + 8a Solving -17 + 3a = -72 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -17 + 3a + -8a = -72 + 8a + -8a Combine like terms: 3a + -8a = -5a -17 + -5a = -72 + 8a + -8a Combine like terms: 8a + -8a = 0 -17 + -5a = -72 + 0 -17 + -5a = -72 Add '17' to each side of the equation. -17 + 17 + -5a = -72 + 17 Combine like terms: -17 + 17 = 0 0 + -5a = -72 + 17 -5a = -72 + 17 Combine like terms: -72 + 17 = -55 -5a = -55 Divide each side by '-5'. a = 11 Simplifying a = 11
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