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Simplifying 30 + -60 = q + -10 + 11q Combine like terms: 30 + -60 = -30 -30 = q + -10 + 11q Reorder the terms: -30 = -10 + q + 11q Combine like terms: q + 11q = 12q -30 = -10 + 12q Solving -30 = -10 + 12q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-12q' to each side of the equation. -30 + -12q = -10 + 12q + -12q Combine like terms: 12q + -12q = 0 -30 + -12q = -10 + 0 -30 + -12q = -10 Add '30' to each side of the equation. -30 + 30 + -12q = -10 + 30 Combine like terms: -30 + 30 = 0 0 + -12q = -10 + 30 -12q = -10 + 30 Combine like terms: -10 + 30 = 20 -12q = 20 Divide each side by '-12'. q = -1.666666667 Simplifying q = -1.666666667
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