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Simplifying 2(4q + -1) + 4 = 42 Reorder the terms: 2(-1 + 4q) + 4 = 42 (-1 * 2 + 4q * 2) + 4 = 42 (-2 + 8q) + 4 = 42 Reorder the terms: -2 + 4 + 8q = 42 Combine like terms: -2 + 4 = 2 2 + 8q = 42 Solving 2 + 8q = 42 Solving for variable 'q'. Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 8q = 42 + -2 Combine like terms: 2 + -2 = 0 0 + 8q = 42 + -2 8q = 42 + -2 Combine like terms: 42 + -2 = 40 8q = 40 Divide each side by '8'. q = 5 Simplifying q = 5
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