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Simplifying 12 + -2(4a + 9) = 22 + -18a + 13 Reorder the terms: 12 + -2(9 + 4a) = 22 + -18a + 13 12 + (9 * -2 + 4a * -2) = 22 + -18a + 13 12 + (-18 + -8a) = 22 + -18a + 13 Combine like terms: 12 + -18 = -6 -6 + -8a = 22 + -18a + 13 Reorder the terms: -6 + -8a = 22 + 13 + -18a Combine like terms: 22 + 13 = 35 -6 + -8a = 35 + -18a Solving -6 + -8a = 35 + -18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18a' to each side of the equation. -6 + -8a + 18a = 35 + -18a + 18a Combine like terms: -8a + 18a = 10a -6 + 10a = 35 + -18a + 18a Combine like terms: -18a + 18a = 0 -6 + 10a = 35 + 0 -6 + 10a = 35 Add '6' to each side of the equation. -6 + 6 + 10a = 35 + 6 Combine like terms: -6 + 6 = 0 0 + 10a = 35 + 6 10a = 35 + 6 Combine like terms: 35 + 6 = 41 10a = 41 Divide each side by '10'. a = 4.1 Simplifying a = 4.1
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