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Simplifying -1(a + 4) + -2 = 8a + -6 Reorder the terms: -1(4 + a) + -2 = 8a + -6 (4 * -1 + a * -1) + -2 = 8a + -6 (-4 + -1a) + -2 = 8a + -6 Reorder the terms: -4 + -2 + -1a = 8a + -6 Combine like terms: -4 + -2 = -6 -6 + -1a = 8a + -6 Reorder the terms: -6 + -1a = -6 + 8a Add '6' to each side of the equation. -6 + 6 + -1a = -6 + 6 + 8a Combine like terms: -6 + 6 = 0 0 + -1a = -6 + 6 + 8a -1a = -6 + 6 + 8a Combine like terms: -6 + 6 = 0 -1a = 0 + 8a -1a = 8a Solving -1a = 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. -1a + -8a = 8a + -8a Combine like terms: -1a + -8a = -9a -9a = 8a + -8a Combine like terms: 8a + -8a = 0 -9a = 0 Divide each side by '-9'. a = 0 Simplifying a = 0
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