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Simplifying -31 + -8a = -3(7a + -7) Reorder the terms: -31 + -8a = -3(-7 + 7a) -31 + -8a = (-7 * -3 + 7a * -3) -31 + -8a = (21 + -21a) Solving -31 + -8a = 21 + -21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '21a' to each side of the equation. -31 + -8a + 21a = 21 + -21a + 21a Combine like terms: -8a + 21a = 13a -31 + 13a = 21 + -21a + 21a Combine like terms: -21a + 21a = 0 -31 + 13a = 21 + 0 -31 + 13a = 21 Add '31' to each side of the equation. -31 + 31 + 13a = 21 + 31 Combine like terms: -31 + 31 = 0 0 + 13a = 21 + 31 13a = 21 + 31 Combine like terms: 21 + 31 = 52 13a = 52 Divide each side by '13'. a = 4 Simplifying a = 4
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