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Simplifying -31 + a = 8[2 + 6a] -31 + a = [2 * 8 + 6a * 8] -31 + a = [16 + 48a] Solving -31 + a = 16 + 48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48a' to each side of the equation. -31 + a + -48a = 16 + 48a + -48a Combine like terms: a + -48a = -47a -31 + -47a = 16 + 48a + -48a Combine like terms: 48a + -48a = 0 -31 + -47a = 16 + 0 -31 + -47a = 16 Add '31' to each side of the equation. -31 + 31 + -47a = 16 + 31 Combine like terms: -31 + 31 = 0 0 + -47a = 16 + 31 -47a = 16 + 31 Combine like terms: 16 + 31 = 47 -47a = 47 Divide each side by '-47'. a = -1 Simplifying a = -1
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