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Simplifying 5 = 6(q + -5) + -10 Reorder the terms: 5 = 6(-5 + q) + -10 5 = (-5 * 6 + q * 6) + -10 5 = (-30 + 6q) + -10 Reorder the terms: 5 = -30 + -10 + 6q Combine like terms: -30 + -10 = -40 5 = -40 + 6q Solving 5 = -40 + 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. 5 + -6q = -40 + 6q + -6q Combine like terms: 6q + -6q = 0 5 + -6q = -40 + 0 5 + -6q = -40 Add '-5' to each side of the equation. 5 + -5 + -6q = -40 + -5 Combine like terms: 5 + -5 = 0 0 + -6q = -40 + -5 -6q = -40 + -5 Combine like terms: -40 + -5 = -45 -6q = -45 Divide each side by '-6'. q = 7.5 Simplifying q = 7.5
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