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Simplifying 3(q + -5) = 5(-3a + 1) Reorder the terms: 3(-5 + q) = 5(-3a + 1) (-5 * 3 + q * 3) = 5(-3a + 1) (-15 + 3q) = 5(-3a + 1) Reorder the terms: -15 + 3q = 5(1 + -3a) -15 + 3q = (1 * 5 + -3a * 5) -15 + 3q = (5 + -15a) Solving -15 + 3q = 5 + -15a Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 3q = 5 + 15 + -15a Combine like terms: -15 + 15 = 0 0 + 3q = 5 + 15 + -15a 3q = 5 + 15 + -15a Combine like terms: 5 + 15 = 20 3q = 20 + -15a Divide each side by '3'. q = 6.666666667 + -5a Simplifying q = 6.666666667 + -5a
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