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Simplifying -8(a + -7) + -4(a + -1) = 9a + -6a Reorder the terms: -8(-7 + a) + -4(a + -1) = 9a + -6a (-7 * -8 + a * -8) + -4(a + -1) = 9a + -6a (56 + -8a) + -4(a + -1) = 9a + -6a Reorder the terms: 56 + -8a + -4(-1 + a) = 9a + -6a 56 + -8a + (-1 * -4 + a * -4) = 9a + -6a 56 + -8a + (4 + -4a) = 9a + -6a Reorder the terms: 56 + 4 + -8a + -4a = 9a + -6a Combine like terms: 56 + 4 = 60 60 + -8a + -4a = 9a + -6a Combine like terms: -8a + -4a = -12a 60 + -12a = 9a + -6a Combine like terms: 9a + -6a = 3a 60 + -12a = 3a Solving 60 + -12a = 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 60 + -12a + -3a = 3a + -3a Combine like terms: -12a + -3a = -15a 60 + -15a = 3a + -3a Combine like terms: 3a + -3a = 0 60 + -15a = 0 Add '-60' to each side of the equation. 60 + -60 + -15a = 0 + -60 Combine like terms: 60 + -60 = 0 0 + -15a = 0 + -60 -15a = 0 + -60 Combine like terms: 0 + -60 = -60 -15a = -60 Divide each side by '-15'. a = 4 Simplifying a = 4
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