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Simplifying 89 = 7(a + -1) + 5a Reorder the terms: 89 = 7(-1 + a) + 5a 89 = (-1 * 7 + a * 7) + 5a 89 = (-7 + 7a) + 5a Combine like terms: 7a + 5a = 12a 89 = -7 + 12a Solving 89 = -7 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 89 + -12a = -7 + 12a + -12a Combine like terms: 12a + -12a = 0 89 + -12a = -7 + 0 89 + -12a = -7 Add '-89' to each side of the equation. 89 + -89 + -12a = -7 + -89 Combine like terms: 89 + -89 = 0 0 + -12a = -7 + -89 -12a = -7 + -89 Combine like terms: -7 + -89 = -96 -12a = -96 Divide each side by '-12'. a = 8 Simplifying a = 8
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