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Simplifying 6(a + -1) = 4a + 8 Reorder the terms: 6(-1 + a) = 4a + 8 (-1 * 6 + a * 6) = 4a + 8 (-6 + 6a) = 4a + 8 Reorder the terms: -6 + 6a = 8 + 4a Solving -6 + 6a = 8 + 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. -6 + 6a + -4a = 8 + 4a + -4a Combine like terms: 6a + -4a = 2a -6 + 2a = 8 + 4a + -4a Combine like terms: 4a + -4a = 0 -6 + 2a = 8 + 0 -6 + 2a = 8 Add '6' to each side of the equation. -6 + 6 + 2a = 8 + 6 Combine like terms: -6 + 6 = 0 0 + 2a = 8 + 6 2a = 8 + 6 Combine like terms: 8 + 6 = 14 2a = 14 Divide each side by '2'. a = 7 Simplifying a = 7
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