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Simplifying 54 = 3q + -42 Reorder the terms: 54 = -42 + 3q Solving 54 = -42 + 3q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-3q' to each side of the equation. 54 + -3q = -42 + 3q + -3q Combine like terms: 3q + -3q = 0 54 + -3q = -42 + 0 54 + -3q = -42 Add '-54' to each side of the equation. 54 + -54 + -3q = -42 + -54 Combine like terms: 54 + -54 = 0 0 + -3q = -42 + -54 -3q = -42 + -54 Combine like terms: -42 + -54 = -96 -3q = -96 Divide each side by '-3'. q = 32 Simplifying q = 32
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