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Simplifying -32 + -8a = 8(1 + -6a) -32 + -8a = (1 * 8 + -6a * 8) -32 + -8a = (8 + -48a) Solving -32 + -8a = 8 + -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. -32 + -8a + 48a = 8 + -48a + 48a Combine like terms: -8a + 48a = 40a -32 + 40a = 8 + -48a + 48a Combine like terms: -48a + 48a = 0 -32 + 40a = 8 + 0 -32 + 40a = 8 Add '32' to each side of the equation. -32 + 32 + 40a = 8 + 32 Combine like terms: -32 + 32 = 0 0 + 40a = 8 + 32 40a = 8 + 32 Combine like terms: 8 + 32 = 40 40a = 40 Divide each side by '40'. a = 1 Simplifying a = 1
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