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Simplifying 5(2a + -1) = 9(a + -5) Reorder the terms: 5(-1 + 2a) = 9(a + -5) (-1 * 5 + 2a * 5) = 9(a + -5) (-5 + 10a) = 9(a + -5) Reorder the terms: -5 + 10a = 9(-5 + a) -5 + 10a = (-5 * 9 + a * 9) -5 + 10a = (-45 + 9a) Solving -5 + 10a = -45 + 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 = -45 + 9a + -9a Combine like terms: 10a + -9a = 1a -5 + 1a = -45 + 9a + -9a Combine like terms: 9a + -9a = 0 -5 + 1a = -45 + 0 -5 + 1a = -45 Add '5' to each side of the equation. -5 + 5 + 1a = -45 + 5 Combine like terms: -5 + 5 = 0 0 + 1a = -45 + 5 1a = -45 + 5 Combine like terms: -45 + 5 = -40 1a = -40 Divide each side by '1'. a = -40 Simplifying a = -40
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