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Simplifying -1(5q + 6) = 2(3a + 8) Reorder the terms: -1(6 + 5q) = 2(3a + 8) (6 * -1 + 5q * -1) = 2(3a + 8) (-6 + -5q) = 2(3a + 8) Reorder the terms: -6 + -5q = 2(8 + 3a) -6 + -5q = (8 * 2 + 3a * 2) -6 + -5q = (16 + 6a) Solving -6 + -5q = 16 + 6a Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5q = 16 + 6 + 6a Combine like terms: -6 + 6 = 0 0 + -5q = 16 + 6 + 6a -5q = 16 + 6 + 6a Combine like terms: 16 + 6 = 22 -5q = 22 + 6a Divide each side by '-5'. q = -4.4 + -1.2a Simplifying q = -4.4 + -1.2a
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