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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 = -24 -6 + 3a = -24 Solving -6 + 3a = -24 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 = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 3a = -24 + 6 3a = -24 + 6 Combine like terms: -24 + 6 = -18 3a = -18 Divide each side by '3'. a = -6 Simplifying a = -6
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