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Simplifying 4(a + 3) = 2(a + 11) Reorder the terms: 4(3 + a) = 2(a + 11) (3 * 4 + a * 4) = 2(a + 11) (12 + 4a) = 2(a + 11) Reorder the terms: 12 + 4a = 2(11 + a) 12 + 4a = (11 * 2 + a * 2) 12 + 4a = (22 + 2a) Solving 12 + 4a = 22 + 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. 12 + 4a + -2a = 22 + 2a + -2a Combine like terms: 4a + -2a = 2a 12 + 2a = 22 + 2a + -2a Combine like terms: 2a + -2a = 0 12 + 2a = 22 + 0 12 + 2a = 22 Add '-12' to each side of the equation. 12 + -12 + 2a = 22 + -12 Combine like terms: 12 + -12 = 0 0 + 2a = 22 + -12 2a = 22 + -12 Combine like terms: 22 + -12 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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