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Simplifying 3(2a + -3) = 9(2a + -9) Reorder the terms: 3(-3 + 2a) = 9(2a + -9) (-3 * 3 + 2a * 3) = 9(2a + -9) (-9 + 6a) = 9(2a + -9) Reorder the terms: -9 + 6a = 9(-9 + 2a) -9 + 6a = (-9 * 9 + 2a * 9) -9 + 6a = (-81 + 18a) Solving -9 + 6a = -81 + 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. -9 + 6a + -18a = -81 + 18a + -18a Combine like terms: 6a + -18a = -12a -9 + -12a = -81 + 18a + -18a Combine like terms: 18a + -18a = 0 -9 + -12a = -81 + 0 -9 + -12a = -81 Add '9' to each side of the equation. -9 + 9 + -12a = -81 + 9 Combine like terms: -9 + 9 = 0 0 + -12a = -81 + 9 -12a = -81 + 9 Combine like terms: -81 + 9 = -72 -12a = -72 Divide each side by '-12'. a = 6 Simplifying a = 6
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