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Simplifying 3rw + 1 = rw + -7 Reorder the terms: 1 + 3rw = rw + -7 Reorder the terms: 1 + 3rw = -7 + rw Solving 1 + 3rw = -7 + rw Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1rw' to each side of the equation. 1 + 3rw + -1rw = -7 + rw + -1rw Combine like terms: 3rw + -1rw = 2rw 1 + 2rw = -7 + rw + -1rw Combine like terms: rw + -1rw = 0 1 + 2rw = -7 + 0 1 + 2rw = -7 Add '-1' to each side of the equation. 1 + -1 + 2rw = -7 + -1 Combine like terms: 1 + -1 = 0 0 + 2rw = -7 + -1 2rw = -7 + -1 Combine like terms: -7 + -1 = -8 2rw = -8 Divide each side by '2w'. r = -4w-1 Simplifying r = -4w-1
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