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Simplifying -89 = 7(2a + -5) + -5a Reorder the terms: -89 = 7(-5 + 2a) + -5a -89 = (-5 * 7 + 2a * 7) + -5a -89 = (-35 + 14a) + -5a Combine like terms: 14a + -5a = 9a -89 = -35 + 9a Solving -89 = -35 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -89 + -9a = -35 + 9a + -9a Combine like terms: 9a + -9a = 0 -89 + -9a = -35 + 0 -89 + -9a = -35 Add '89' to each side of the equation. -89 + 89 + -9a = -35 + 89 Combine like terms: -89 + 89 = 0 0 + -9a = -35 + 89 -9a = -35 + 89 Combine like terms: -35 + 89 = 54 -9a = 54 Divide each side by '-9'. a = -6 Simplifying a = -6
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