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Simplifying -97 = 3(8 + 5a) + -1 -97 = (8 * 3 + 5a * 3) + -1 -97 = (24 + 15a) + -1 Reorder the terms: -97 = 24 + -1 + 15a Combine like terms: 24 + -1 = 23 -97 = 23 + 15a Solving -97 = 23 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. -97 + -15a = 23 + 15a + -15a Combine like terms: 15a + -15a = 0 -97 + -15a = 23 + 0 -97 + -15a = 23 Add '97' to each side of the equation. -97 + 97 + -15a = 23 + 97 Combine like terms: -97 + 97 = 0 0 + -15a = 23 + 97 -15a = 23 + 97 Combine like terms: 23 + 97 = 120 -15a = 120 Divide each side by '-15'. a = -8 Simplifying a = -8
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