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Simplifying 14 + -1q = 3(q + -5) Reorder the terms: 14 + -1q = 3(-5 + q) 14 + -1q = (-5 * 3 + q * 3) 14 + -1q = (-15 + 3q) Solving 14 + -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. 14 + -1q + -3q = -15 + 3q + -3q Combine like terms: -1q + -3q = -4q 14 + -4q = -15 + 3q + -3q Combine like terms: 3q + -3q = 0 14 + -4q = -15 + 0 14 + -4q = -15 Add '-14' to each side of the equation. 14 + -14 + -4q = -15 + -14 Combine like terms: 14 + -14 = 0 0 + -4q = -15 + -14 -4q = -15 + -14 Combine like terms: -15 + -14 = -29 -4q = -29 Divide each side by '-4'. q = 7.25 Simplifying q = 7.25
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