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Simplifying 5(4q + -2) = 2(5a + -35) Reorder the terms: 5(-2 + 4q) = 2(5a + -35) (-2 * 5 + 4q * 5) = 2(5a + -35) (-10 + 20q) = 2(5a + -35) Reorder the terms: -10 + 20q = 2(-35 + 5a) -10 + 20q = (-35 * 2 + 5a * 2) -10 + 20q = (-70 + 10a) Solving -10 + 20q = -70 + 10a Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 20q = -70 + 10 + 10a Combine like terms: -10 + 10 = 0 0 + 20q = -70 + 10 + 10a 20q = -70 + 10 + 10a Combine like terms: -70 + 10 = -60 20q = -60 + 10a Divide each side by '20'. q = -3 + 0.5a Simplifying q = -3 + 0.5a
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