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Simplifying 8a + 7a = 5(a + -8) + 6(a + 2) Combine like terms: 8a + 7a = 15a 15a = 5(a + -8) + 6(a + 2) Reorder the terms: 15a = 5(-8 + a) + 6(a + 2) 15a = (-8 * 5 + a * 5) + 6(a + 2) 15a = (-40 + 5a) + 6(a + 2) Reorder the terms: 15a = -40 + 5a + 6(2 + a) 15a = -40 + 5a + (2 * 6 + a * 6) 15a = -40 + 5a + (12 + 6a) Reorder the terms: 15a = -40 + 12 + 5a + 6a Combine like terms: -40 + 12 = -28 15a = -28 + 5a + 6a Combine like terms: 5a + 6a = 11a 15a = -28 + 11a Solving 15a = -28 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. 15a + -11a = -28 + 11a + -11a Combine like terms: 15a + -11a = 4a 4a = -28 + 11a + -11a Combine like terms: 11a + -11a = 0 4a = -28 + 0 4a = -28 Divide each side by '4'. a = -7 Simplifying a = -7
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