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Simplifying 7(5a + -4) + -1 = 74 + -8a Reorder the terms: 7(-4 + 5a) + -1 = 74 + -8a (-4 * 7 + 5a * 7) + -1 = 74 + -8a (-28 + 35a) + -1 = 74 + -8a Reorder the terms: -28 + -1 + 35a = 74 + -8a Combine like terms: -28 + -1 = -29 -29 + 35a = 74 + -8a Solving -29 + 35a = 74 + -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. -29 + 35a + 8a = 74 + -8a + 8a Combine like terms: 35a + 8a = 43a -29 + 43a = 74 + -8a + 8a Combine like terms: -8a + 8a = 0 -29 + 43a = 74 + 0 -29 + 43a = 74 Add '29' to each side of the equation. -29 + 29 + 43a = 74 + 29 Combine like terms: -29 + 29 = 0 0 + 43a = 74 + 29 43a = 74 + 29 Combine like terms: 74 + 29 = 103 43a = 103 Divide each side by '43'. a = 2.395348837 Simplifying a = 2.395348837
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