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Simplifying 8q + -4(-5a + -2) = 12a Reorder the terms: 8q + -4(-2 + -5a) = 12a 8q + (-2 * -4 + -5a * -4) = 12a 8q + (8 + 20a) = 12a Reorder the terms: 8 + 20a + 8q = 12a Solving 8 + 20a + 8q = 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 8 + 20a + -12a + 8q = 12a + -12a Combine like terms: 20a + -12a = 8a 8 + 8a + 8q = 12a + -12a Combine like terms: 12a + -12a = 0 8 + 8a + 8q = 0 Add '-8' to each side of the equation. 8 + 8a + -8 + 8q = 0 + -8 Reorder the terms: 8 + -8 + 8a + 8q = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 8a + 8q = 0 + -8 8a + 8q = 0 + -8 Combine like terms: 0 + -8 = -8 8a + 8q = -8 Add '-8q' to each side of the equation. 8a + 8q + -8q = -8 + -8q Combine like terms: 8q + -8q = 0 8a + 0 = -8 + -8q 8a = -8 + -8q Divide each side by '8'. a = -1 + -1q Simplifying a = -1 + -1q
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