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Simplifying 7q + 2 = 4q + -1(5) Reorder the terms: 2 + 7q = 4q + -1(5) Multiply -1 * 5 2 + 7q = 4q + -5 Reorder the terms: 2 + 7q = -5 + 4q Solving 2 + 7q = -5 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 2 + 7q + -4q = -5 + 4q + -4q Combine like terms: 7q + -4q = 3q 2 + 3q = -5 + 4q + -4q Combine like terms: 4q + -4q = 0 2 + 3q = -5 + 0 2 + 3q = -5 Add '-2' to each side of the equation. 2 + -2 + 3q = -5 + -2 Combine like terms: 2 + -2 = 0 0 + 3q = -5 + -2 3q = -5 + -2 Combine like terms: -5 + -2 = -7 3q = -7 Divide each side by '3'. q = -2.333333333 Simplifying q = -2.333333333
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