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Simplifying 10q + 6 = 4q + -7 Reorder the terms: 6 + 10q = 4q + -7 Reorder the terms: 6 + 10q = -7 + 4q Solving 6 + 10q = -7 + 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. 6 + 10q + -4q = -7 + 4q + -4q Combine like terms: 10q + -4q = 6q 6 + 6q = -7 + 4q + -4q Combine like terms: 4q + -4q = 0 6 + 6q = -7 + 0 6 + 6q = -7 Add '-6' to each side of the equation. 6 + -6 + 6q = -7 + -6 Combine like terms: 6 + -6 = 0 0 + 6q = -7 + -6 6q = -7 + -6 Combine like terms: -7 + -6 = -13 6q = -13 Divide each side by '6'. q = -2.166666667 Simplifying q = -2.166666667
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