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Simplifying 4q + -1(a + 6) = 12 + -36 Reorder the terms: 4q + -1(6 + a) = 12 + -36 4q + (6 * -1 + a * -1) = 12 + -36 4q + (-6 + -1a) = 12 + -36 Reorder the terms: -6 + -1a + 4q = 12 + -36 Combine like terms: 12 + -36 = -24 -6 + -1a + 4q = -24 Solving -6 + -1a + 4q = -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 + -1a + 6 + 4q = -24 + 6 Reorder the terms: -6 + 6 + -1a + 4q = -24 + 6 Combine like terms: -6 + 6 = 0 0 + -1a + 4q = -24 + 6 -1a + 4q = -24 + 6 Combine like terms: -24 + 6 = -18 -1a + 4q = -18 Add '-4q' to each side of the equation. -1a + 4q + -4q = -18 + -4q Combine like terms: 4q + -4q = 0 -1a + 0 = -18 + -4q -1a = -18 + -4q Divide each side by '-1'. a = 18 + 4q Simplifying a = 18 + 4q
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