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Simplifying 6 = -8(a + -7) + -7(1 + 5a) Reorder the terms: 6 = -8(-7 + a) + -7(1 + 5a) 6 = (-7 * -8 + a * -8) + -7(1 + 5a) 6 = (56 + -8a) + -7(1 + 5a) 6 = 56 + -8a + (1 * -7 + 5a * -7) 6 = 56 + -8a + (-7 + -35a) Reorder the terms: 6 = 56 + -7 + -8a + -35a Combine like terms: 56 + -7 = 49 6 = 49 + -8a + -35a Combine like terms: -8a + -35a = -43a 6 = 49 + -43a Solving 6 = 49 + -43a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '43a' to each side of the equation. 6 + 43a = 49 + -43a + 43a Combine like terms: -43a + 43a = 0 6 + 43a = 49 + 0 6 + 43a = 49 Add '-6' to each side of the equation. 6 + -6 + 43a = 49 + -6 Combine like terms: 6 + -6 = 0 0 + 43a = 49 + -6 43a = 49 + -6 Combine like terms: 49 + -6 = 43 43a = 43 Divide each side by '43'. a = 1 Simplifying a = 1
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