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Simplifying 6r + -3r + 3 = 7 + -1r Reorder the terms: 3 + 6r + -3r = 7 + -1r Combine like terms: 6r + -3r = 3r 3 + 3r = 7 + -1r Solving 3 + 3r = 7 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 3 + 3r + r = 7 + -1r + r Combine like terms: 3r + r = 4r 3 + 4r = 7 + -1r + r Combine like terms: -1r + r = 0 3 + 4r = 7 + 0 3 + 4r = 7 Add '-3' to each side of the equation. 3 + -3 + 4r = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 4r = 7 + -3 4r = 7 + -3 Combine like terms: 7 + -3 = 4 4r = 4 Divide each side by '4'. r = 1 Simplifying r = 1
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