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Simplifying q + 4 = 8(q + 7) Reorder the terms: 4 + q = 8(q + 7) Reorder the terms: 4 + q = 8(7 + q) 4 + q = (7 * 8 + q * 8) 4 + q = (56 + 8q) Solving 4 + q = 56 + 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. 4 + q + -8q = 56 + 8q + -8q Combine like terms: q + -8q = -7q 4 + -7q = 56 + 8q + -8q Combine like terms: 8q + -8q = 0 4 + -7q = 56 + 0 4 + -7q = 56 Add '-4' to each side of the equation. 4 + -4 + -7q = 56 + -4 Combine like terms: 4 + -4 = 0 0 + -7q = 56 + -4 -7q = 56 + -4 Combine like terms: 56 + -4 = 52 -7q = 52 Divide each side by '-7'. q = -7.428571429 Simplifying q = -7.428571429
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