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Simplifying 5 = -5(2 + 4q) + -1q 5 = (2 * -5 + 4q * -5) + -1q 5 = (-10 + -20q) + -1q Combine like terms: -20q + -1q = -21q 5 = -10 + -21q Solving 5 = -10 + -21q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '21q' to each side of the equation. 5 + 21q = -10 + -21q + 21q Combine like terms: -21q + 21q = 0 5 + 21q = -10 + 0 5 + 21q = -10 Add '-5' to each side of the equation. 5 + -5 + 21q = -10 + -5 Combine like terms: 5 + -5 = 0 0 + 21q = -10 + -5 21q = -10 + -5 Combine like terms: -10 + -5 = -15 21q = -15 Divide each side by '21'. q = -0.7142857143 Simplifying q = -0.7142857143
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