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Simplifying -31 + -1a = -1(1 + -4a) -31 + -1a = (1 * -1 + -4a * -1) -31 + -1a = (-1 + 4a) Solving -31 + -1a = -1 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -31 + -1a + -4a = -1 + 4a + -4a Combine like terms: -1a + -4a = -5a -31 + -5a = -1 + 4a + -4a Combine like terms: 4a + -4a = 0 -31 + -5a = -1 + 0 -31 + -5a = -1 Add '31' to each side of the equation. -31 + 31 + -5a = -1 + 31 Combine like terms: -31 + 31 = 0 0 + -5a = -1 + 31 -5a = -1 + 31 Combine like terms: -1 + 31 = 30 -5a = 30 Divide each side by '-5'. a = -6 Simplifying a = -6
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