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Simplifying 4 = 2q + -5(4q + 2) Reorder the terms: 4 = 2q + -5(2 + 4q) 4 = 2q + (2 * -5 + 4q * -5) 4 = 2q + (-10 + -20q) Reorder the terms: 4 = -10 + 2q + -20q Combine like terms: 2q + -20q = -18q 4 = -10 + -18q Solving 4 = -10 + -18q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '18q' to each side of the equation. 4 + 18q = -10 + -18q + 18q Combine like terms: -18q + 18q = 0 4 + 18q = -10 + 0 4 + 18q = -10 Add '-4' to each side of the equation. 4 + -4 + 18q = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 18q = -10 + -4 18q = -10 + -4 Combine like terms: -10 + -4 = -14 18q = -14 Divide each side by '18'. q = -0.7777777778 Simplifying q = -0.7777777778
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