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Simplifying 4q + -67 + 2q + 21 = -2q + 170 Reorder the terms: -67 + 21 + 4q + 2q = -2q + 170 Combine like terms: -67 + 21 = -46 -46 + 4q + 2q = -2q + 170 Combine like terms: 4q + 2q = 6q -46 + 6q = -2q + 170 Reorder the terms: -46 + 6q = 170 + -2q Solving -46 + 6q = 170 + -2q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '2q' to each side of the equation. -46 + 6q + 2q = 170 + -2q + 2q Combine like terms: 6q + 2q = 8q -46 + 8q = 170 + -2q + 2q Combine like terms: -2q + 2q = 0 -46 + 8q = 170 + 0 -46 + 8q = 170 Add '46' to each side of the equation. -46 + 46 + 8q = 170 + 46 Combine like terms: -46 + 46 = 0 0 + 8q = 170 + 46 8q = 170 + 46 Combine like terms: 170 + 46 = 216 8q = 216 Divide each side by '8'. q = 27 Simplifying q = 27
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