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Simplifying -8a + 35 = 2(8 + -6a) + 7 Reorder the terms: 35 + -8a = 2(8 + -6a) + 7 35 + -8a = (8 * 2 + -6a * 2) + 7 35 + -8a = (16 + -12a) + 7 Reorder the terms: 35 + -8a = 16 + 7 + -12a Combine like terms: 16 + 7 = 23 35 + -8a = 23 + -12a Solving 35 + -8a = 23 + -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. 35 + -8a + 12a = 23 + -12a + 12a Combine like terms: -8a + 12a = 4a 35 + 4a = 23 + -12a + 12a Combine like terms: -12a + 12a = 0 35 + 4a = 23 + 0 35 + 4a = 23 Add '-35' to each side of the equation. 35 + -35 + 4a = 23 + -35 Combine like terms: 35 + -35 = 0 0 + 4a = 23 + -35 4a = 23 + -35 Combine like terms: 23 + -35 = -12 4a = -12 Divide each side by '4'. a = -3 Simplifying a = -3
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