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Simplifying -6(7 + -7a) + 3(5a + 8) = -75 (7 * -6 + -7a * -6) + 3(5a + 8) = -75 (-42 + 42a) + 3(5a + 8) = -75 Reorder the terms: -42 + 42a + 3(8 + 5a) = -75 -42 + 42a + (8 * 3 + 5a * 3) = -75 -42 + 42a + (24 + 15a) = -75 Reorder the terms: -42 + 24 + 42a + 15a = -75 Combine like terms: -42 + 24 = -18 -18 + 42a + 15a = -75 Combine like terms: 42a + 15a = 57a -18 + 57a = -75 Solving -18 + 57a = -75 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 57a = -75 + 18 Combine like terms: -18 + 18 = 0 0 + 57a = -75 + 18 57a = -75 + 18 Combine like terms: -75 + 18 = -57 57a = -57 Divide each side by '57'. a = -1 Simplifying a = -1
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