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