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Simplifying -7 + 8q = 7 + 10q + 6 Reorder the terms: -7 + 8q = 7 + 6 + 10q Combine like terms: 7 + 6 = 13 -7 + 8q = 13 + 10q Solving -7 + 8q = 13 + 10q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-10q' to each side of the equation. -7 + 8q + -10q = 13 + 10q + -10q Combine like terms: 8q + -10q = -2q -7 + -2q = 13 + 10q + -10q Combine like terms: 10q + -10q = 0 -7 + -2q = 13 + 0 -7 + -2q = 13 Add '7' to each side of the equation. -7 + 7 + -2q = 13 + 7 Combine like terms: -7 + 7 = 0 0 + -2q = 13 + 7 -2q = 13 + 7 Combine like terms: 13 + 7 = 20 -2q = 20 Divide each side by '-2'. q = -10 Simplifying q = -10
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