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Simplifying q + 94 = 3q + -100 Reorder the terms: 94 + q = 3q + -100 Reorder the terms: 94 + q = -100 + 3q Solving 94 + q = -100 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 94 + q + -3q = -100 + 3q + -3q Combine like terms: q + -3q = -2q 94 + -2q = -100 + 3q + -3q Combine like terms: 3q + -3q = 0 94 + -2q = -100 + 0 94 + -2q = -100 Add '-94' to each side of the equation. 94 + -94 + -2q = -100 + -94 Combine like terms: 94 + -94 = 0 0 + -2q = -100 + -94 -2q = -100 + -94 Combine like terms: -100 + -94 = -194 -2q = -194 Divide each side by '-2'. q = 97 Simplifying q = 97
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