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