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Simplifying -9(2 + a) = 4(2a + 9) (2 * -9 + a * -9) = 4(2a + 9) (-18 + -9a) = 4(2a + 9) Reorder the terms: -18 + -9a = 4(9 + 2a) -18 + -9a = (9 * 4 + 2a * 4) -18 + -9a = (36 + 8a) Solving -18 + -9a = 36 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -18 + -9a + -8a = 36 + 8a + -8a Combine like terms: -9a + -8a = -17a -18 + -17a = 36 + 8a + -8a Combine like terms: 8a + -8a = 0 -18 + -17a = 36 + 0 -18 + -17a = 36 Add '18' to each side of the equation. -18 + 18 + -17a = 36 + 18 Combine like terms: -18 + 18 = 0 0 + -17a = 36 + 18 -17a = 36 + 18 Combine like terms: 36 + 18 = 54 -17a = 54 Divide each side by '-17'. a = -3.176470588 Simplifying a = -3.176470588
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