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Simplifying -8(4a + 1) + -8a = -40 + -8a Reorder the terms: -8(1 + 4a) + -8a = -40 + -8a (1 * -8 + 4a * -8) + -8a = -40 + -8a (-8 + -32a) + -8a = -40 + -8a Combine like terms: -32a + -8a = -40a -8 + -40a = -40 + -8a Solving -8 + -40a = -40 + -8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8a' to each side of the equation. -8 + -40a + 8a = -40 + -8a + 8a Combine like terms: -40a + 8a = -32a -8 + -32a = -40 + -8a + 8a Combine like terms: -8a + 8a = 0 -8 + -32a = -40 + 0 -8 + -32a = -40 Add '8' to each side of the equation. -8 + 8 + -32a = -40 + 8 Combine like terms: -8 + 8 = 0 0 + -32a = -40 + 8 -32a = -40 + 8 Combine like terms: -40 + 8 = -32 -32a = -32 Divide each side by '-32'. a = 1 Simplifying a = 1
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