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Simplifying 7(a + 5) + -3(a + 6) = 17 Reorder the terms: 7(5 + a) + -3(a + 6) = 17 (5 * 7 + a * 7) + -3(a + 6) = 17 (35 + 7a) + -3(a + 6) = 17 Reorder the terms: 35 + 7a + -3(6 + a) = 17 35 + 7a + (6 * -3 + a * -3) = 17 35 + 7a + (-18 + -3a) = 17 Reorder the terms: 35 + -18 + 7a + -3a = 17 Combine like terms: 35 + -18 = 17 17 + 7a + -3a = 17 Combine like terms: 7a + -3a = 4a 17 + 4a = 17 Add '-17' to each side of the equation. 17 + -17 + 4a = 17 + -17 Combine like terms: 17 + -17 = 0 0 + 4a = 17 + -17 4a = 17 + -17 Combine like terms: 17 + -17 = 0 4a = 0 Solving 4a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Divide each side by '4'. a = 0 Simplifying a = 0
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