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Simplifying -3(3a + -4) = 3(-3 + -2a) Reorder the terms: -3(-4 + 3a) = 3(-3 + -2a) (-4 * -3 + 3a * -3) = 3(-3 + -2a) (12 + -9a) = 3(-3 + -2a) 12 + -9a = (-3 * 3 + -2a * 3) 12 + -9a = (-9 + -6a) Solving 12 + -9a = -9 + -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. 12 + -9a + 6a = -9 + -6a + 6a Combine like terms: -9a + 6a = -3a 12 + -3a = -9 + -6a + 6a Combine like terms: -6a + 6a = 0 12 + -3a = -9 + 0 12 + -3a = -9 Add '-12' to each side of the equation. 12 + -12 + -3a = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -3a = -9 + -12 -3a = -9 + -12 Combine like terms: -9 + -12 = -21 -3a = -21 Divide each side by '-3'. a = 7 Simplifying a = 7
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