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Simplifying 4q + 84 = q + 46 Reorder the terms: 84 + 4q = q + 46 Reorder the terms: 84 + 4q = 46 + q Solving 84 + 4q = 46 + q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. 84 + 4q + -1q = 46 + q + -1q Combine like terms: 4q + -1q = 3q 84 + 3q = 46 + q + -1q Combine like terms: q + -1q = 0 84 + 3q = 46 + 0 84 + 3q = 46 Add '-84' to each side of the equation. 84 + -84 + 3q = 46 + -84 Combine like terms: 84 + -84 = 0 0 + 3q = 46 + -84 3q = 46 + -84 Combine like terms: 46 + -84 = -38 3q = -38 Divide each side by '3'. q = -12.66666667 Simplifying q = -12.66666667
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