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Simplifying 2(a + -8) + 3(a + 6) = 7 Reorder the terms: 2(-8 + a) + 3(a + 6) = 7 (-8 * 2 + a * 2) + 3(a + 6) = 7 (-16 + 2a) + 3(a + 6) = 7 Reorder the terms: -16 + 2a + 3(6 + a) = 7 -16 + 2a + (6 * 3 + a * 3) = 7 -16 + 2a + (18 + 3a) = 7 Reorder the terms: -16 + 18 + 2a + 3a = 7 Combine like terms: -16 + 18 = 2 2 + 2a + 3a = 7 Combine like terms: 2a + 3a = 5a 2 + 5a = 7 Solving 2 + 5a = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5a = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 5a = 7 + -2 5a = 7 + -2 Combine like terms: 7 + -2 = 5 5a = 5 Divide each side by '5'. a = 1 Simplifying a = 1
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