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Simplifying 8q + -5 = 16 + -1(-1q) Reorder the terms: -5 + 8q = 16 + -1(-1q) Remove parenthesis around (-1q) -5 + 8q = 16 + -1 * -1q Multiply -1 * -1 -5 + 8q = 16 + 1q Solving -5 + 8q = 16 + 1q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-1q' to each side of the equation. -5 + 8q + -1q = 16 + 1q + -1q Combine like terms: 8q + -1q = 7q -5 + 7q = 16 + 1q + -1q Combine like terms: 1q + -1q = 0 -5 + 7q = 16 + 0 -5 + 7q = 16 Add '5' to each side of the equation. -5 + 5 + 7q = 16 + 5 Combine like terms: -5 + 5 = 0 0 + 7q = 16 + 5 7q = 16 + 5 Combine like terms: 16 + 5 = 21 7q = 21 Divide each side by '7'. q = 3 Simplifying q = 3
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