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Simplifying 186q + -114 = (31q + -19) Reorder the terms: -114 + 186q = (31q + -19) Reorder the terms: -114 + 186q = (-19 + 31q) Remove parenthesis around (-19 + 31q) -114 + 186q = -19 + 31q Solving -114 + 186q = -19 + 31q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-31q' to each side of the equation. -114 + 186q + -31q = -19 + 31q + -31q Combine like terms: 186q + -31q = 155q -114 + 155q = -19 + 31q + -31q Combine like terms: 31q + -31q = 0 -114 + 155q = -19 + 0 -114 + 155q = -19 Add '114' to each side of the equation. -114 + 114 + 155q = -19 + 114 Combine like terms: -114 + 114 = 0 0 + 155q = -19 + 114 155q = -19 + 114 Combine like terms: -19 + 114 = 95 155q = 95 Divide each side by '155'. q = 0.6129032258 Simplifying q = 0.6129032258
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