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Simplifying 4(1 + a) = 4(5 + 3a) (1 * 4 + a * 4) = 4(5 + 3a) (4 + 4a) = 4(5 + 3a) 4 + 4a = (5 * 4 + 3a * 4) 4 + 4a = (20 + 12a) Solving 4 + 4a = 20 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 4 + 4a + -12a = 20 + 12a + -12a Combine like terms: 4a + -12a = -8a 4 + -8a = 20 + 12a + -12a Combine like terms: 12a + -12a = 0 4 + -8a = 20 + 0 4 + -8a = 20 Add '-4' to each side of the equation. 4 + -4 + -8a = 20 + -4 Combine like terms: 4 + -4 = 0 0 + -8a = 20 + -4 -8a = 20 + -4 Combine like terms: 20 + -4 = 16 -8a = 16 Divide each side by '-8'. a = -2 Simplifying a = -2
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