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Simplifying -239 = 8(-4 + 5a) + -7 -239 = (-4 * 8 + 5a * 8) + -7 -239 = (-32 + 40a) + -7 Reorder the terms: -239 = -32 + -7 + 40a Combine like terms: -32 + -7 = -39 -239 = -39 + 40a Solving -239 = -39 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. -239 + -40a = -39 + 40a + -40a Combine like terms: 40a + -40a = 0 -239 + -40a = -39 + 0 -239 + -40a = -39 Add '239' to each side of the equation. -239 + 239 + -40a = -39 + 239 Combine like terms: -239 + 239 = 0 0 + -40a = -39 + 239 -40a = -39 + 239 Combine like terms: -39 + 239 = 200 -40a = 200 Divide each side by '-40'. a = -5 Simplifying a = -5
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