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Simplifying -97 = 5(1 + -7a) + 3 -97 = (1 * 5 + -7a * 5) + 3 -97 = (5 + -35a) + 3 Reorder the terms: -97 = 5 + 3 + -35a Combine like terms: 5 + 3 = 8 -97 = 8 + -35a Solving -97 = 8 + -35a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35a' to each side of the equation. -97 + 35a = 8 + -35a + 35a Combine like terms: -35a + 35a = 0 -97 + 35a = 8 + 0 -97 + 35a = 8 Add '97' to each side of the equation. -97 + 97 + 35a = 8 + 97 Combine like terms: -97 + 97 = 0 0 + 35a = 8 + 97 35a = 8 + 97 Combine like terms: 8 + 97 = 105 35a = 105 Divide each side by '35'. a = 3 Simplifying a = 3
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