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Simplifying -2 + -1(8a + 7) = 5a + -1(1 + 11a) Reorder the terms: -2 + -1(7 + 8a) = 5a + -1(1 + 11a) -2 + (7 * -1 + 8a * -1) = 5a + -1(1 + 11a) -2 + (-7 + -8a) = 5a + -1(1 + 11a) Combine like terms: -2 + -7 = -9 -9 + -8a = 5a + -1(1 + 11a) -9 + -8a = 5a + (1 * -1 + 11a * -1) -9 + -8a = 5a + (-1 + -11a) Reorder the terms: -9 + -8a = -1 + 5a + -11a Combine like terms: 5a + -11a = -6a -9 + -8a = -1 + -6a Solving -9 + -8a = -1 + -6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6a' to each side of the equation. -9 + -8a + 6a = -1 + -6a + 6a Combine like terms: -8a + 6a = -2a -9 + -2a = -1 + -6a + 6a Combine like terms: -6a + 6a = 0 -9 + -2a = -1 + 0 -9 + -2a = -1 Add '9' to each side of the equation. -9 + 9 + -2a = -1 + 9 Combine like terms: -9 + 9 = 0 0 + -2a = -1 + 9 -2a = -1 + 9 Combine like terms: -1 + 9 = 8 -2a = 8 Divide each side by '-2'. a = -4 Simplifying a = -4
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