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Simplifying q + 30 = 7q + -36 Reorder the terms: 30 + q = 7q + -36 Reorder the terms: 30 + q = -36 + 7q Solving 30 + q = -36 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. 30 + q + -7q = -36 + 7q + -7q Combine like terms: q + -7q = -6q 30 + -6q = -36 + 7q + -7q Combine like terms: 7q + -7q = 0 30 + -6q = -36 + 0 30 + -6q = -36 Add '-30' to each side of the equation. 30 + -30 + -6q = -36 + -30 Combine like terms: 30 + -30 = 0 0 + -6q = -36 + -30 -6q = -36 + -30 Combine like terms: -36 + -30 = -66 -6q = -66 Divide each side by '-6'. q = 11 Simplifying q = 11
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