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Simplifying 4a + -1[a + 6] = 12 + 36 Reorder the terms: 4a + -1[6 + a] = 12 + 36 4a + [6 * -1 + a * -1] = 12 + 36 4a + [-6 + -1a] = 12 + 36 Reorder the terms: -6 + 4a + -1a = 12 + 36 Combine like terms: 4a + -1a = 3a -6 + 3a = 12 + 36 Combine like terms: 12 + 36 = 48 -6 + 3a = 48 Solving -6 + 3a = 48 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 3a = 48 + 6 Combine like terms: -6 + 6 = 0 0 + 3a = 48 + 6 3a = 48 + 6 Combine like terms: 48 + 6 = 54 3a = 54 Divide each side by '3'. a = 18 Simplifying a = 18
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