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Simplifying 42 = 7(3 + -1q) 42 = (3 * 7 + -1q * 7) 42 = (21 + -7q) Solving 42 = 21 + -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. 42 + 7q = 21 + -7q + 7q Combine like terms: -7q + 7q = 0 42 + 7q = 21 + 0 42 + 7q = 21 Add '-42' to each side of the equation. 42 + -42 + 7q = 21 + -42 Combine like terms: 42 + -42 = 0 0 + 7q = 21 + -42 7q = 21 + -42 Combine like terms: 21 + -42 = -21 7q = -21 Divide each side by '7'. q = -3 Simplifying q = -3
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