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Simplifying 9(a + -4) = 6(3 + 2a) Reorder the terms: 9(-4 + a) = 6(3 + 2a) (-4 * 9 + a * 9) = 6(3 + 2a) (-36 + 9a) = 6(3 + 2a) -36 + 9a = (3 * 6 + 2a * 6) -36 + 9a = (18 + 12a) Solving -36 + 9a = 18 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. -36 + 9a + -12a = 18 + 12a + -12a Combine like terms: 9a + -12a = -3a -36 + -3a = 18 + 12a + -12a Combine like terms: 12a + -12a = 0 -36 + -3a = 18 + 0 -36 + -3a = 18 Add '36' to each side of the equation. -36 + 36 + -3a = 18 + 36 Combine like terms: -36 + 36 = 0 0 + -3a = 18 + 36 -3a = 18 + 36 Combine like terms: 18 + 36 = 54 -3a = 54 Divide each side by '-3'. a = -18 Simplifying a = -18
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