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Simplifying -1(-3a + -4) + -4a = -31 + 6a Reorder the terms: -1(-4 + -3a) + -4a = -31 + 6a (-4 * -1 + -3a * -1) + -4a = -31 + 6a (4 + 3a) + -4a = -31 + 6a Combine like terms: 3a + -4a = -1a 4 + -1a = -31 + 6a Solving 4 + -1a = -31 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 4 + -1a + -6a = -31 + 6a + -6a Combine like terms: -1a + -6a = -7a 4 + -7a = -31 + 6a + -6a Combine like terms: 6a + -6a = 0 4 + -7a = -31 + 0 4 + -7a = -31 Add '-4' to each side of the equation. 4 + -4 + -7a = -31 + -4 Combine like terms: 4 + -4 = 0 0 + -7a = -31 + -4 -7a = -31 + -4 Combine like terms: -31 + -4 = -35 -7a = -35 Divide each side by '-7'. a = 5 Simplifying a = 5
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