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Simplifying -1(5a + 6) = 3(3a + 8) Reorder the terms: -1(6 + 5a) = 3(3a + 8) (6 * -1 + 5a * -1) = 3(3a + 8) (-6 + -5a) = 3(3a + 8) Reorder the terms: -6 + -5a = 3(8 + 3a) -6 + -5a = (8 * 3 + 3a * 3) -6 + -5a = (24 + 9a) Solving -6 + -5a = 24 + 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. -6 + -5a + -9a = 24 + 9a + -9a Combine like terms: -5a + -9a = -14a -6 + -14a = 24 + 9a + -9a Combine like terms: 9a + -9a = 0 -6 + -14a = 24 + 0 -6 + -14a = 24 Add '6' to each side of the equation. -6 + 6 + -14a = 24 + 6 Combine like terms: -6 + 6 = 0 0 + -14a = 24 + 6 -14a = 24 + 6 Combine like terms: 24 + 6 = 30 -14a = 30 Divide each side by '-14'. a = -2.142857143 Simplifying a = -2.142857143
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