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Simplifying a + 3 = 2(a + 4) Reorder the terms: 3 + a = 2(a + 4) Reorder the terms: 3 + a = 2(4 + a) 3 + a = (4 * 2 + a * 2) 3 + a = (8 + 2a) Solving 3 + a = 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. 3 + a + -2a = 8 + 2a + -2a Combine like terms: a + -2a = -1a 3 + -1a = 8 + 2a + -2a Combine like terms: 2a + -2a = 0 3 + -1a = 8 + 0 3 + -1a = 8 Add '-3' to each side of the equation. 3 + -3 + -1a = 8 + -3 Combine like terms: 3 + -3 = 0 0 + -1a = 8 + -3 -1a = 8 + -3 Combine like terms: 8 + -3 = 5 -1a = 5 Divide each side by '-1'. a = -5 Simplifying a = -5
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