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Simplifying q + -1(-3q + 4) = -2(q + -3) + 14 Reorder the terms: q + -1(4 + -3q) = -2(q + -3) + 14 q + (4 * -1 + -3q * -1) = -2(q + -3) + 14 q + (-4 + 3q) = -2(q + -3) + 14 Reorder the terms: -4 + q + 3q = -2(q + -3) + 14 Combine like terms: q + 3q = 4q -4 + 4q = -2(q + -3) + 14 Reorder the terms: -4 + 4q = -2(-3 + q) + 14 -4 + 4q = (-3 * -2 + q * -2) + 14 -4 + 4q = (6 + -2q) + 14 Reorder the terms: -4 + 4q = 6 + 14 + -2q Combine like terms: 6 + 14 = 20 -4 + 4q = 20 + -2q Solving -4 + 4q = 20 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. -4 + 4q + 2q = 20 + -2q + 2q Combine like terms: 4q + 2q = 6q -4 + 6q = 20 + -2q + 2q Combine like terms: -2q + 2q = 0 -4 + 6q = 20 + 0 -4 + 6q = 20 Add '4' to each side of the equation. -4 + 4 + 6q = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 6q = 20 + 4 6q = 20 + 4 Combine like terms: 20 + 4 = 24 6q = 24 Divide each side by '6'. q = 4 Simplifying q = 4
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