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Simplifying 5(2a + -1) = 9(a + 1) + -8 Reorder the terms: 5(-1 + 2a) = 9(a + 1) + -8 (-1 * 5 + 2a * 5) = 9(a + 1) + -8 (-5 + 10a) = 9(a + 1) + -8 Reorder the terms: -5 + 10a = 9(1 + a) + -8 -5 + 10a = (1 * 9 + a * 9) + -8 -5 + 10a = (9 + 9a) + -8 Reorder the terms: -5 + 10a = 9 + -8 + 9a Combine like terms: 9 + -8 = 1 -5 + 10a = 1 + 9a Solving -5 + 10a = 1 + 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. -5 + 10a + -9a = 1 + 9a + -9a Combine like terms: 10a + -9a = 1a -5 + 1a = 1 + 9a + -9a Combine like terms: 9a + -9a = 0 -5 + 1a = 1 + 0 -5 + 1a = 1 Add '5' to each side of the equation. -5 + 5 + 1a = 1 + 5 Combine like terms: -5 + 5 = 0 0 + 1a = 1 + 5 1a = 1 + 5 Combine like terms: 1 + 5 = 6 1a = 6 Divide each side by '1'. a = 6 Simplifying a = 6
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