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