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Simplifying -7(1 + -4a) + 5a = -5a + 31 (1 * -7 + -4a * -7) + 5a = -5a + 31 (-7 + 28a) + 5a = -5a + 31 Combine like terms: 28a + 5a = 33a -7 + 33a = -5a + 31 Reorder the terms: -7 + 33a = 31 + -5a Solving -7 + 33a = 31 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -7 + 33a + 5a = 31 + -5a + 5a Combine like terms: 33a + 5a = 38a -7 + 38a = 31 + -5a + 5a Combine like terms: -5a + 5a = 0 -7 + 38a = 31 + 0 -7 + 38a = 31 Add '7' to each side of the equation. -7 + 7 + 38a = 31 + 7 Combine like terms: -7 + 7 = 0 0 + 38a = 31 + 7 38a = 31 + 7 Combine like terms: 31 + 7 = 38 38a = 38 Divide each side by '38'. a = 1 Simplifying a = 1
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