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Simplifying 4q + -8 = 7q + 13 Reorder the terms: -8 + 4q = 7q + 13 Reorder the terms: -8 + 4q = 13 + 7q Solving -8 + 4q = 13 + 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. -8 + 4q + -7q = 13 + 7q + -7q Combine like terms: 4q + -7q = -3q -8 + -3q = 13 + 7q + -7q Combine like terms: 7q + -7q = 0 -8 + -3q = 13 + 0 -8 + -3q = 13 Add '8' to each side of the equation. -8 + 8 + -3q = 13 + 8 Combine like terms: -8 + 8 = 0 0 + -3q = 13 + 8 -3q = 13 + 8 Combine like terms: 13 + 8 = 21 -3q = 21 Divide each side by '-3'. q = -7 Simplifying q = -7
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