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Simplifying 9(2a + -11) = -3(a + 12) Reorder the terms: 9(-11 + 2a) = -3(a + 12) (-11 * 9 + 2a * 9) = -3(a + 12) (-99 + 18a) = -3(a + 12) Reorder the terms: -99 + 18a = -3(12 + a) -99 + 18a = (12 * -3 + a * -3) -99 + 18a = (-36 + -3a) Solving -99 + 18a = -36 + -3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3a' to each side of the equation. -99 + 18a + 3a = -36 + -3a + 3a Combine like terms: 18a + 3a = 21a -99 + 21a = -36 + -3a + 3a Combine like terms: -3a + 3a = 0 -99 + 21a = -36 + 0 -99 + 21a = -36 Add '99' to each side of the equation. -99 + 99 + 21a = -36 + 99 Combine like terms: -99 + 99 = 0 0 + 21a = -36 + 99 21a = -36 + 99 Combine like terms: -36 + 99 = 63 21a = 63 Divide each side by '21'. a = 3 Simplifying a = 3
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