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Simplifying 7r + -3r + 4 = 7r + -1r Reorder the terms: 4 + 7r + -3r = 7r + -1r Combine like terms: 7r + -3r = 4r 4 + 4r = 7r + -1r Combine like terms: 7r + -1r = 6r 4 + 4r = 6r Solving 4 + 4r = 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 4 + 4r + -6r = 6r + -6r Combine like terms: 4r + -6r = -2r 4 + -2r = 6r + -6r Combine like terms: 6r + -6r = 0 4 + -2r = 0 Add '-4' to each side of the equation. 4 + -4 + -2r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2r = 0 + -4 -2r = 0 + -4 Combine like terms: 0 + -4 = -4 -2r = -4 Divide each side by '-2'. r = 2 Simplifying r = 2
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