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Simplifying 3(q + -5) = 4a + -1(2a + 4) Reorder the terms: 3(-5 + q) = 4a + -1(2a + 4) (-5 * 3 + q * 3) = 4a + -1(2a + 4) (-15 + 3q) = 4a + -1(2a + 4) Reorder the terms: -15 + 3q = 4a + -1(4 + 2a) -15 + 3q = 4a + (4 * -1 + 2a * -1) -15 + 3q = 4a + (-4 + -2a) Reorder the terms: -15 + 3q = -4 + 4a + -2a Combine like terms: 4a + -2a = 2a -15 + 3q = -4 + 2a Solving -15 + 3q = -4 + 2a 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 = -4 + 15 + 2a Combine like terms: -15 + 15 = 0 0 + 3q = -4 + 15 + 2a 3q = -4 + 15 + 2a Combine like terms: -4 + 15 = 11 3q = 11 + 2a Divide each side by '3'. q = 3.666666667 + 0.6666666667a Simplifying q = 3.666666667 + 0.6666666667a
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