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Simplifying (10q + -63) + (2q + 45) = 98 Reorder the terms: (-63 + 10q) + (2q + 45) = 98 Remove parenthesis around (-63 + 10q) -63 + 10q + (2q + 45) = 98 Reorder the terms: -63 + 10q + (45 + 2q) = 98 Remove parenthesis around (45 + 2q) -63 + 10q + 45 + 2q = 98 Reorder the terms: -63 + 45 + 10q + 2q = 98 Combine like terms: -63 + 45 = -18 -18 + 10q + 2q = 98 Combine like terms: 10q + 2q = 12q -18 + 12q = 98 Solving -18 + 12q = 98 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 12q = 98 + 18 Combine like terms: -18 + 18 = 0 0 + 12q = 98 + 18 12q = 98 + 18 Combine like terms: 98 + 18 = 116 12q = 116 Divide each side by '12'. q = 9.666666667 Simplifying q = 9.666666667
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