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Simplifying 7q + -5 = 10q + 9 Reorder the terms: -5 + 7q = 10q + 9 Reorder the terms: -5 + 7q = 9 + 10q Solving -5 + 7q = 9 + 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. -5 + 7q + -10q = 9 + 10q + -10q Combine like terms: 7q + -10q = -3q -5 + -3q = 9 + 10q + -10q Combine like terms: 10q + -10q = 0 -5 + -3q = 9 + 0 -5 + -3q = 9 Add '5' to each side of the equation. -5 + 5 + -3q = 9 + 5 Combine like terms: -5 + 5 = 0 0 + -3q = 9 + 5 -3q = 9 + 5 Combine like terms: 9 + 5 = 14 -3q = 14 Divide each side by '-3'. q = -4.666666667 Simplifying q = -4.666666667
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