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Simplifying 42 = 7(q + 54) Reorder the terms: 42 = 7(54 + q) 42 = (54 * 7 + q * 7) 42 = (378 + 7q) Solving 42 = 378 + 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 = 378 + 7q + -7q Combine like terms: 7q + -7q = 0 42 + -7q = 378 + 0 42 + -7q = 378 Add '-42' to each side of the equation. 42 + -42 + -7q = 378 + -42 Combine like terms: 42 + -42 = 0 0 + -7q = 378 + -42 -7q = 378 + -42 Combine like terms: 378 + -42 = 336 -7q = 336 Divide each side by '-7'. q = -48 Simplifying q = -48
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