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Simplifying 9(a + -4) = 3(2a + -11) + -9 Reorder the terms: 9(-4 + a) = 3(2a + -11) + -9 (-4 * 9 + a * 9) = 3(2a + -11) + -9 (-36 + 9a) = 3(2a + -11) + -9 Reorder the terms: -36 + 9a = 3(-11 + 2a) + -9 -36 + 9a = (-11 * 3 + 2a * 3) + -9 -36 + 9a = (-33 + 6a) + -9 Reorder the terms: -36 + 9a = -33 + -9 + 6a Combine like terms: -33 + -9 = -42 -36 + 9a = -42 + 6a Solving -36 + 9a = -42 + 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. -36 + 9a + -6a = -42 + 6a + -6a Combine like terms: 9a + -6a = 3a -36 + 3a = -42 + 6a + -6a Combine like terms: 6a + -6a = 0 -36 + 3a = -42 + 0 -36 + 3a = -42 Add '36' to each side of the equation. -36 + 36 + 3a = -42 + 36 Combine like terms: -36 + 36 = 0 0 + 3a = -42 + 36 3a = -42 + 36 Combine like terms: -42 + 36 = -6 3a = -6 Divide each side by '3'. a = -2 Simplifying a = -2
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