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Simplifying -4(a + 1) = -4(3a + -3) Reorder the terms: -4(1 + a) = -4(3a + -3) (1 * -4 + a * -4) = -4(3a + -3) (-4 + -4a) = -4(3a + -3) Reorder the terms: -4 + -4a = -4(-3 + 3a) -4 + -4a = (-3 * -4 + 3a * -4) -4 + -4a = (12 + -12a) Solving -4 + -4a = 12 + -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. -4 + -4a + 12a = 12 + -12a + 12a Combine like terms: -4a + 12a = 8a -4 + 8a = 12 + -12a + 12a Combine like terms: -12a + 12a = 0 -4 + 8a = 12 + 0 -4 + 8a = 12 Add '4' to each side of the equation. -4 + 4 + 8a = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 8a = 12 + 4 8a = 12 + 4 Combine like terms: 12 + 4 = 16 8a = 16 Divide each side by '8'. a = 2 Simplifying a = 2
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