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Simplifying 7(q + -13) = 6q Reorder the terms: 7(-13 + q) = 6q (-13 * 7 + q * 7) = 6q (-91 + 7q) = 6q Solving -91 + 7q = 6q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-6q' to each side of the equation. -91 + 7q + -6q = 6q + -6q Combine like terms: 7q + -6q = 1q -91 + 1q = 6q + -6q Combine like terms: 6q + -6q = 0 -91 + 1q = 0 Add '91' to each side of the equation. -91 + 91 + 1q = 0 + 91 Combine like terms: -91 + 91 = 0 0 + 1q = 0 + 91 1q = 0 + 91 Combine like terms: 0 + 91 = 91 1q = 91 Divide each side by '1'. q = 91 Simplifying q = 91
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