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