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Simplifying 15 + -4q = 42 + -7q Solving 15 + -4q = 42 + -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. 15 + -4q + 7q = 42 + -7q + 7q Combine like terms: -4q + 7q = 3q 15 + 3q = 42 + -7q + 7q Combine like terms: -7q + 7q = 0 15 + 3q = 42 + 0 15 + 3q = 42 Add '-15' to each side of the equation. 15 + -15 + 3q = 42 + -15 Combine like terms: 15 + -15 = 0 0 + 3q = 42 + -15 3q = 42 + -15 Combine like terms: 42 + -15 = 27 3q = 27 Divide each side by '3'. q = 9 Simplifying q = 9
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