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Simplifying 2q + -2 = 4q + -7 Reorder the terms: -2 + 2q = 4q + -7 Reorder the terms: -2 + 2q = -7 + 4q Solving -2 + 2q = -7 + 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 + 2q + -4q = -7 + 4q + -4q Combine like terms: 2q + -4q = -2q -2 + -2q = -7 + 4q + -4q Combine like terms: 4q + -4q = 0 -2 + -2q = -7 + 0 -2 + -2q = -7 Add '2' to each side of the equation. -2 + 2 + -2q = -7 + 2 Combine like terms: -2 + 2 = 0 0 + -2q = -7 + 2 -2q = -7 + 2 Combine like terms: -7 + 2 = -5 -2q = -5 Divide each side by '-2'. q = 2.5 Simplifying q = 2.5
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