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Simplifying 8(-3 + 6a) = 31 + -7a (-3 * 8 + 6a * 8) = 31 + -7a (-24 + 48a) = 31 + -7a Solving -24 + 48a = 31 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. -24 + 48a + 7a = 31 + -7a + 7a Combine like terms: 48a + 7a = 55a -24 + 55a = 31 + -7a + 7a Combine like terms: -7a + 7a = 0 -24 + 55a = 31 + 0 -24 + 55a = 31 Add '24' to each side of the equation. -24 + 24 + 55a = 31 + 24 Combine like terms: -24 + 24 = 0 0 + 55a = 31 + 24 55a = 31 + 24 Combine like terms: 31 + 24 = 55 55a = 55 Divide each side by '55'. a = 1 Simplifying a = 1
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