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Simplifying -31 + 5a = -5(-5a + -5) + 8a Reorder the terms: -31 + 5a = -5(-5 + -5a) + 8a -31 + 5a = (-5 * -5 + -5a * -5) + 8a -31 + 5a = (25 + 25a) + 8a Combine like terms: 25a + 8a = 33a -31 + 5a = 25 + 33a Solving -31 + 5a = 25 + 33a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-33a' to each side of the equation. -31 + 5a + -33a = 25 + 33a + -33a Combine like terms: 5a + -33a = -28a -31 + -28a = 25 + 33a + -33a Combine like terms: 33a + -33a = 0 -31 + -28a = 25 + 0 -31 + -28a = 25 Add '31' to each side of the equation. -31 + 31 + -28a = 25 + 31 Combine like terms: -31 + 31 = 0 0 + -28a = 25 + 31 -28a = 25 + 31 Combine like terms: 25 + 31 = 56 -28a = 56 Divide each side by '-28'. a = -2 Simplifying a = -2
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