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Simplifying 4(1 + 3a) + 8a = 6(6 + 6a) (1 * 4 + 3a * 4) + 8a = 6(6 + 6a) (4 + 12a) + 8a = 6(6 + 6a) Combine like terms: 12a + 8a = 20a 4 + 20a = 6(6 + 6a) 4 + 20a = (6 * 6 + 6a * 6) 4 + 20a = (36 + 36a) Solving 4 + 20a = 36 + 36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36a' to each side of the equation. 4 + 20a + -36a = 36 + 36a + -36a Combine like terms: 20a + -36a = -16a 4 + -16a = 36 + 36a + -36a Combine like terms: 36a + -36a = 0 4 + -16a = 36 + 0 4 + -16a = 36 Add '-4' to each side of the equation. 4 + -4 + -16a = 36 + -4 Combine like terms: 4 + -4 = 0 0 + -16a = 36 + -4 -16a = 36 + -4 Combine like terms: 36 + -4 = 32 -16a = 32 Divide each side by '-16'. a = -2 Simplifying a = -2
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