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Simplifying -1(a + 7) + -3(5a + 6) = -9 Reorder the terms: -1(7 + a) + -3(5a + 6) = -9 (7 * -1 + a * -1) + -3(5a + 6) = -9 (-7 + -1a) + -3(5a + 6) = -9 Reorder the terms: -7 + -1a + -3(6 + 5a) = -9 -7 + -1a + (6 * -3 + 5a * -3) = -9 -7 + -1a + (-18 + -15a) = -9 Reorder the terms: -7 + -18 + -1a + -15a = -9 Combine like terms: -7 + -18 = -25 -25 + -1a + -15a = -9 Combine like terms: -1a + -15a = -16a -25 + -16a = -9 Solving -25 + -16a = -9 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + -16a = -9 + 25 Combine like terms: -25 + 25 = 0 0 + -16a = -9 + 25 -16a = -9 + 25 Combine like terms: -9 + 25 = 16 -16a = 16 Divide each side by '-16'. a = -1 Simplifying a = -1
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