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Simplifying -89 = 8(a + -5) + -1 Reorder the terms: -89 = 8(-5 + a) + -1 -89 = (-5 * 8 + a * 8) + -1 -89 = (-40 + 8a) + -1 Reorder the terms: -89 = -40 + -1 + 8a Combine like terms: -40 + -1 = -41 -89 = -41 + 8a Solving -89 = -41 + 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. -89 + -8a = -41 + 8a + -8a Combine like terms: 8a + -8a = 0 -89 + -8a = -41 + 0 -89 + -8a = -41 Add '89' to each side of the equation. -89 + 89 + -8a = -41 + 89 Combine like terms: -89 + 89 = 0 0 + -8a = -41 + 89 -8a = -41 + 89 Combine like terms: -41 + 89 = 48 -8a = 48 Divide each side by '-8'. a = -6 Simplifying a = -6
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