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Simplifying [q + 7] = [8q + 14] Reorder the terms: [7 + q] = [8q + 14] Remove brackets around [7 + q] 7 + q = [8q + 14] Reorder the terms: 7 + q = [14 + 8q] Remove brackets around [14 + 8q] 7 + q = 14 + 8q Solving 7 + q = 14 + 8q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-8q' to each side of the equation. 7 + q + -8q = 14 + 8q + -8q Combine like terms: q + -8q = -7q 7 + -7q = 14 + 8q + -8q Combine like terms: 8q + -8q = 0 7 + -7q = 14 + 0 7 + -7q = 14 Add '-7' to each side of the equation. 7 + -7 + -7q = 14 + -7 Combine like terms: 7 + -7 = 0 0 + -7q = 14 + -7 -7q = 14 + -7 Combine like terms: 14 + -7 = 7 -7q = 7 Divide each side by '-7'. q = -1 Simplifying q = -1
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