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Simplifying -295 = 8a + -7(1 + -4a) -295 = 8a + (1 * -7 + -4a * -7) -295 = 8a + (-7 + 28a) Reorder the terms: -295 = -7 + 8a + 28a Combine like terms: 8a + 28a = 36a -295 = -7 + 36a Solving -295 = -7 + 36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-36a' to each side of the equation. -295 + -36a = -7 + 36a + -36a Combine like terms: 36a + -36a = 0 -295 + -36a = -7 + 0 -295 + -36a = -7 Add '295' to each side of the equation. -295 + 295 + -36a = -7 + 295 Combine like terms: -295 + 295 = 0 0 + -36a = -7 + 295 -36a = -7 + 295 Combine like terms: -7 + 295 = 288 -36a = 288 Divide each side by '-36'. a = -8 Simplifying a = -8
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