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Simplifying 41 + -1q = 3(1q + -5) Reorder the terms: 41 + -1q = 3(-5 + 1q) 41 + -1q = (-5 * 3 + 1q * 3) 41 + -1q = (-15 + 3q) Solving 41 + -1q = -15 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 41 + -1q + -3q = -15 + 3q + -3q Combine like terms: -1q + -3q = -4q 41 + -4q = -15 + 3q + -3q Combine like terms: 3q + -3q = 0 41 + -4q = -15 + 0 41 + -4q = -15 Add '-41' to each side of the equation. 41 + -41 + -4q = -15 + -41 Combine like terms: 41 + -41 = 0 0 + -4q = -15 + -41 -4q = -15 + -41 Combine like terms: -15 + -41 = -56 -4q = -56 Divide each side by '-4'. q = 14 Simplifying q = 14
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