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Simplifying -2(4a + -3) + 2 = -4(a + 1) Reorder the terms: -2(-3 + 4a) + 2 = -4(a + 1) (-3 * -2 + 4a * -2) + 2 = -4(a + 1) (6 + -8a) + 2 = -4(a + 1) Reorder the terms: 6 + 2 + -8a = -4(a + 1) Combine like terms: 6 + 2 = 8 8 + -8a = -4(a + 1) Reorder the terms: 8 + -8a = -4(1 + a) 8 + -8a = (1 * -4 + a * -4) 8 + -8a = (-4 + -4a) Solving 8 + -8a = -4 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 8 + -8a + 4a = -4 + -4a + 4a Combine like terms: -8a + 4a = -4a 8 + -4a = -4 + -4a + 4a Combine like terms: -4a + 4a = 0 8 + -4a = -4 + 0 8 + -4a = -4 Add '-8' to each side of the equation. 8 + -8 + -4a = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -4a = -4 + -8 -4a = -4 + -8 Combine like terms: -4 + -8 = -12 -4a = -12 Divide each side by '-4'. a = 3 Simplifying a = 3
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