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Simplifying -5q + 40 = 6q + -70 Reorder the terms: 40 + -5q = 6q + -70 Reorder the terms: 40 + -5q = -70 + 6q Solving 40 + -5q = -70 + 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. 40 + -5q + -6q = -70 + 6q + -6q Combine like terms: -5q + -6q = -11q 40 + -11q = -70 + 6q + -6q Combine like terms: 6q + -6q = 0 40 + -11q = -70 + 0 40 + -11q = -70 Add '-40' to each side of the equation. 40 + -40 + -11q = -70 + -40 Combine like terms: 40 + -40 = 0 0 + -11q = -70 + -40 -11q = -70 + -40 Combine like terms: -70 + -40 = -110 -11q = -110 Divide each side by '-11'. q = 10 Simplifying q = 10
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