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Simplifying dq + 6 + q = 2q + 5 Reorder the terms: 6 + dq + q = 2q + 5 Reorder the terms: 6 + dq + q = 5 + 2q Solving 6 + dq + q = 5 + 2q Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + dq + -6 + q = 5 + -6 + 2q Reorder the terms: 6 + -6 + dq + q = 5 + -6 + 2q Combine like terms: 6 + -6 = 0 0 + dq + q = 5 + -6 + 2q dq + q = 5 + -6 + 2q Combine like terms: 5 + -6 = -1 dq + q = -1 + 2q Add '-1q' to each side of the equation. dq + q + -1q = -1 + 2q + -1q Combine like terms: q + -1q = 0 dq + 0 = -1 + 2q + -1q dq = -1 + 2q + -1q Combine like terms: 2q + -1q = 1q dq = -1 + 1q Divide each side by 'q'. d = -1q-1 + 1 Simplifying d = -1q-1 + 1 Reorder the terms: d = 1 + -1q-1
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