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Simplifying 7 + -1(6a + -2) = 11 + 3a + -8(a + -7) Reorder the terms: 7 + -1(-2 + 6a) = 11 + 3a + -8(a + -7) 7 + (-2 * -1 + 6a * -1) = 11 + 3a + -8(a + -7) 7 + (2 + -6a) = 11 + 3a + -8(a + -7) Combine like terms: 7 + 2 = 9 9 + -6a = 11 + 3a + -8(a + -7) Reorder the terms: 9 + -6a = 11 + 3a + -8(-7 + a) 9 + -6a = 11 + 3a + (-7 * -8 + a * -8) 9 + -6a = 11 + 3a + (56 + -8a) Reorder the terms: 9 + -6a = 11 + 56 + 3a + -8a Combine like terms: 11 + 56 = 67 9 + -6a = 67 + 3a + -8a Combine like terms: 3a + -8a = -5a 9 + -6a = 67 + -5a Solving 9 + -6a = 67 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. 9 + -6a + 5a = 67 + -5a + 5a Combine like terms: -6a + 5a = -1a 9 + -1a = 67 + -5a + 5a Combine like terms: -5a + 5a = 0 9 + -1a = 67 + 0 9 + -1a = 67 Add '-9' to each side of the equation. 9 + -9 + -1a = 67 + -9 Combine like terms: 9 + -9 = 0 0 + -1a = 67 + -9 -1a = 67 + -9 Combine like terms: 67 + -9 = 58 -1a = 58 Divide each side by '-1'. a = -58 Simplifying a = -58
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