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Simplifying 3(q + -4) = 4a + -1(2a + 4) Reorder the terms: 3(-4 + q) = 4a + -1(2a + 4) (-4 * 3 + q * 3) = 4a + -1(2a + 4) (-12 + 3q) = 4a + -1(2a + 4) Reorder the terms: -12 + 3q = 4a + -1(4 + 2a) -12 + 3q = 4a + (4 * -1 + 2a * -1) -12 + 3q = 4a + (-4 + -2a) Reorder the terms: -12 + 3q = -4 + 4a + -2a Combine like terms: 4a + -2a = 2a -12 + 3q = -4 + 2a Solving -12 + 3q = -4 + 2a Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 3q = -4 + 12 + 2a Combine like terms: -12 + 12 = 0 0 + 3q = -4 + 12 + 2a 3q = -4 + 12 + 2a Combine like terms: -4 + 12 = 8 3q = 8 + 2a Divide each side by '3'. q = 2.666666667 + 0.6666666667a Simplifying q = 2.666666667 + 0.6666666667a
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