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Simplifying 10a + -3(2a + -9) = 9(a + -1) + 1 Reorder the terms: 10a + -3(-9 + 2a) = 9(a + -1) + 1 10a + (-9 * -3 + 2a * -3) = 9(a + -1) + 1 10a + (27 + -6a) = 9(a + -1) + 1 Reorder the terms: 27 + 10a + -6a = 9(a + -1) + 1 Combine like terms: 10a + -6a = 4a 27 + 4a = 9(a + -1) + 1 Reorder the terms: 27 + 4a = 9(-1 + a) + 1 27 + 4a = (-1 * 9 + a * 9) + 1 27 + 4a = (-9 + 9a) + 1 Reorder the terms: 27 + 4a = -9 + 1 + 9a Combine like terms: -9 + 1 = -8 27 + 4a = -8 + 9a Solving 27 + 4a = -8 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 27 + 4a + -9a = -8 + 9a + -9a Combine like terms: 4a + -9a = -5a 27 + -5a = -8 + 9a + -9a Combine like terms: 9a + -9a = 0 27 + -5a = -8 + 0 27 + -5a = -8 Add '-27' to each side of the equation. 27 + -27 + -5a = -8 + -27 Combine like terms: 27 + -27 = 0 0 + -5a = -8 + -27 -5a = -8 + -27 Combine like terms: -8 + -27 = -35 -5a = -35 Divide each side by '-5'. a = 7 Simplifying a = 7
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