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Simplifying 5 = 7(q + -5) + -19 Reorder the terms: 5 = 7(-5 + q) + -19 5 = (-5 * 7 + q * 7) + -19 5 = (-35 + 7q) + -19 Reorder the terms: 5 = -35 + -19 + 7q Combine like terms: -35 + -19 = -54 5 = -54 + 7q Solving 5 = -54 + 7q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-7q' to each side of the equation. 5 + -7q = -54 + 7q + -7q Combine like terms: 7q + -7q = 0 5 + -7q = -54 + 0 5 + -7q = -54 Add '-5' to each side of the equation. 5 + -5 + -7q = -54 + -5 Combine like terms: 5 + -5 = 0 0 + -7q = -54 + -5 -7q = -54 + -5 Combine like terms: -54 + -5 = -59 -7q = -59 Divide each side by '-7'. q = 8.428571429 Simplifying q = 8.428571429
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