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Simplifying 4(a + 2) = (a + 6) Reorder the terms: 4(2 + a) = (a + 6) (2 * 4 + a * 4) = (a + 6) (8 + 4a) = (a + 6) Reorder the terms: 8 + 4a = (6 + a) Remove parenthesis around (6 + a) 8 + 4a = 6 + a Solving 8 + 4a = 6 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 8 + 4a + -1a = 6 + a + -1a Combine like terms: 4a + -1a = 3a 8 + 3a = 6 + a + -1a Combine like terms: a + -1a = 0 8 + 3a = 6 + 0 8 + 3a = 6 Add '-8' to each side of the equation. 8 + -8 + 3a = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 3a = 6 + -8 3a = 6 + -8 Combine like terms: 6 + -8 = -2 3a = -2 Divide each side by '3'. a = -0.6666666667 Simplifying a = -0.6666666667
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