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Simplifying 58 = 6(q + -1) + -8 Reorder the terms: 58 = 6(-1 + q) + -8 58 = (-1 * 6 + q * 6) + -8 58 = (-6 + 6q) + -8 Reorder the terms: 58 = -6 + -8 + 6q Combine like terms: -6 + -8 = -14 58 = -14 + 6q Solving 58 = -14 + 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. 58 + -6q = -14 + 6q + -6q Combine like terms: 6q + -6q = 0 58 + -6q = -14 + 0 58 + -6q = -14 Add '-58' to each side of the equation. 58 + -58 + -6q = -14 + -58 Combine like terms: 58 + -58 = 0 0 + -6q = -14 + -58 -6q = -14 + -58 Combine like terms: -14 + -58 = -72 -6q = -72 Divide each side by '-6'. q = 12 Simplifying q = 12
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