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Simplifying -4 + 3(a + 1) = 9 + a Reorder the terms: -4 + 3(1 + a) = 9 + a -4 + (1 * 3 + a * 3) = 9 + a -4 + (3 + 3a) = 9 + a Combine like terms: -4 + 3 = -1 -1 + 3a = 9 + a Solving -1 + 3a = 9 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -1 + 3a + -1a = 9 + a + -1a Combine like terms: 3a + -1a = 2a -1 + 2a = 9 + a + -1a Combine like terms: a + -1a = 0 -1 + 2a = 9 + 0 -1 + 2a = 9 Add '1' to each side of the equation. -1 + 1 + 2a = 9 + 1 Combine like terms: -1 + 1 = 0 0 + 2a = 9 + 1 2a = 9 + 1 Combine like terms: 9 + 1 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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