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Simplifying 4(a + 5) = 2a + 12 Reorder the terms: 4(5 + a) = 2a + 12 (5 * 4 + a * 4) = 2a + 12 (20 + 4a) = 2a + 12 Reorder the terms: 20 + 4a = 12 + 2a Solving 20 + 4a = 12 + 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. 20 + 4a + -2a = 12 + 2a + -2a Combine like terms: 4a + -2a = 2a 20 + 2a = 12 + 2a + -2a Combine like terms: 2a + -2a = 0 20 + 2a = 12 + 0 20 + 2a = 12 Add '-20' to each side of the equation. 20 + -20 + 2a = 12 + -20 Combine like terms: 20 + -20 = 0 0 + 2a = 12 + -20 2a = 12 + -20 Combine like terms: 12 + -20 = -8 2a = -8 Divide each side by '2'. a = -4 Simplifying a = -4
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