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Simplifying 14 + -1(4q + -6) = 2q + 2 Reorder the terms: 14 + -1(-6 + 4q) = 2q + 2 14 + (-6 * -1 + 4q * -1) = 2q + 2 14 + (6 + -4q) = 2q + 2 Combine like terms: 14 + 6 = 20 20 + -4q = 2q + 2 Reorder the terms: 20 + -4q = 2 + 2q Solving 20 + -4q = 2 + 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. 20 + -4q + -2q = 2 + 2q + -2q Combine like terms: -4q + -2q = -6q 20 + -6q = 2 + 2q + -2q Combine like terms: 2q + -2q = 0 20 + -6q = 2 + 0 20 + -6q = 2 Add '-20' to each side of the equation. 20 + -20 + -6q = 2 + -20 Combine like terms: 20 + -20 = 0 0 + -6q = 2 + -20 -6q = 2 + -20 Combine like terms: 2 + -20 = -18 -6q = -18 Divide each side by '-6'. q = 3 Simplifying q = 3
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