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Simplifying -9(5a + 6) = 2(3a + 8) Reorder the terms: -9(6 + 5a) = 2(3a + 8) (6 * -9 + 5a * -9) = 2(3a + 8) (-54 + -45a) = 2(3a + 8) Reorder the terms: -54 + -45a = 2(8 + 3a) -54 + -45a = (8 * 2 + 3a * 2) -54 + -45a = (16 + 6a) Solving -54 + -45a = 16 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -54 + -45a + -6a = 16 + 6a + -6a Combine like terms: -45a + -6a = -51a -54 + -51a = 16 + 6a + -6a Combine like terms: 6a + -6a = 0 -54 + -51a = 16 + 0 -54 + -51a = 16 Add '54' to each side of the equation. -54 + 54 + -51a = 16 + 54 Combine like terms: -54 + 54 = 0 0 + -51a = 16 + 54 -51a = 16 + 54 Combine like terms: 16 + 54 = 70 -51a = 70 Divide each side by '-51'. a = -1.37254902 Simplifying a = -1.37254902
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