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Simplifying 70 + -1(q + 70 + -4q) = 70 + -4q Reorder the terms: 70 + -1(70 + q + -4q) = 70 + -4q Combine like terms: q + -4q = -3q 70 + -1(70 + -3q) = 70 + -4q 70 + (70 * -1 + -3q * -1) = 70 + -4q 70 + (-70 + 3q) = 70 + -4q Combine like terms: 70 + -70 = 0 0 + 3q = 70 + -4q 3q = 70 + -4q Solving 3q = 70 + -4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '4q' to each side of the equation. 3q + 4q = 70 + -4q + 4q Combine like terms: 3q + 4q = 7q 7q = 70 + -4q + 4q Combine like terms: -4q + 4q = 0 7q = 70 + 0 7q = 70 Divide each side by '7'. q = 10 Simplifying q = 10
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