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Simplifying -12(1 + -4a) = -6(-9a + -5) (1 * -12 + -4a * -12) = -6(-9a + -5) (-12 + 48a) = -6(-9a + -5) Reorder the terms: -12 + 48a = -6(-5 + -9a) -12 + 48a = (-5 * -6 + -9a * -6) -12 + 48a = (30 + 54a) Solving -12 + 48a = 30 + 54a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-54a' to each side of the equation. -12 + 48a + -54a = 30 + 54a + -54a Combine like terms: 48a + -54a = -6a -12 + -6a = 30 + 54a + -54a Combine like terms: 54a + -54a = 0 -12 + -6a = 30 + 0 -12 + -6a = 30 Add '12' to each side of the equation. -12 + 12 + -6a = 30 + 12 Combine like terms: -12 + 12 = 0 0 + -6a = 30 + 12 -6a = 30 + 12 Combine like terms: 30 + 12 = 42 -6a = 42 Divide each side by '-6'. a = -7 Simplifying a = -7
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