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Simplifying -34 = -2 + 8(a + 9) Reorder the terms: -34 = -2 + 8(9 + a) -34 = -2 + (9 * 8 + a * 8) -34 = -2 + (72 + 8a) Combine like terms: -2 + 72 = 70 -34 = 70 + 8a Solving -34 = 70 + 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. -34 + -8a = 70 + 8a + -8a Combine like terms: 8a + -8a = 0 -34 + -8a = 70 + 0 -34 + -8a = 70 Add '34' to each side of the equation. -34 + 34 + -8a = 70 + 34 Combine like terms: -34 + 34 = 0 0 + -8a = 70 + 34 -8a = 70 + 34 Combine like terms: 70 + 34 = 104 -8a = 104 Divide each side by '-8'. a = -13 Simplifying a = -13
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