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Simplifying q + 42 = 4q + 7 Reorder the terms: 42 + q = 4q + 7 Reorder the terms: 42 + q = 7 + 4q Solving 42 + q = 7 + 4q Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-4q' to each side of the equation. 42 + q + -4q = 7 + 4q + -4q Combine like terms: q + -4q = -3q 42 + -3q = 7 + 4q + -4q Combine like terms: 4q + -4q = 0 42 + -3q = 7 + 0 42 + -3q = 7 Add '-42' to each side of the equation. 42 + -42 + -3q = 7 + -42 Combine like terms: 42 + -42 = 0 0 + -3q = 7 + -42 -3q = 7 + -42 Combine like terms: 7 + -42 = -35 -3q = -35 Divide each side by '-3'. q = 11.66666667 Simplifying q = 11.66666667
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