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Simplifying -3 + 6(a + 1) = -6a + 39 Reorder the terms: -3 + 6(1 + a) = -6a + 39 -3 + (1 * 6 + a * 6) = -6a + 39 -3 + (6 + 6a) = -6a + 39 Combine like terms: -3 + 6 = 3 3 + 6a = -6a + 39 Reorder the terms: 3 + 6a = 39 + -6a Solving 3 + 6a = 39 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. 3 + 6a + 6a = 39 + -6a + 6a Combine like terms: 6a + 6a = 12a 3 + 12a = 39 + -6a + 6a Combine like terms: -6a + 6a = 0 3 + 12a = 39 + 0 3 + 12a = 39 Add '-3' to each side of the equation. 3 + -3 + 12a = 39 + -3 Combine like terms: 3 + -3 = 0 0 + 12a = 39 + -3 12a = 39 + -3 Combine like terms: 39 + -3 = 36 12a = 36 Divide each side by '12'. a = 3 Simplifying a = 3
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