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Simplifying 6 = 6(q + -5) + -19 Reorder the terms: 6 = 6(-5 + q) + -19 6 = (-5 * 6 + q * 6) + -19 6 = (-30 + 6q) + -19 Reorder the terms: 6 = -30 + -19 + 6q Combine like terms: -30 + -19 = -49 6 = -49 + 6q Solving 6 = -49 + 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. 6 + -6q = -49 + 6q + -6q Combine like terms: 6q + -6q = 0 6 + -6q = -49 + 0 6 + -6q = -49 Add '-6' to each side of the equation. 6 + -6 + -6q = -49 + -6 Combine like terms: 6 + -6 = 0 0 + -6q = -49 + -6 -6q = -49 + -6 Combine like terms: -49 + -6 = -55 -6q = -55 Divide each side by '-6'. q = 9.166666667 Simplifying q = 9.166666667
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