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Simplifying 9r + -5r + 7 = 7r + -1r Reorder the terms: 7 + 9r + -5r = 7r + -1r Combine like terms: 9r + -5r = 4r 7 + 4r = 7r + -1r Combine like terms: 7r + -1r = 6r 7 + 4r = 6r Solving 7 + 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. 7 + 4r + -6r = 6r + -6r Combine like terms: 4r + -6r = -2r 7 + -2r = 6r + -6r Combine like terms: 6r + -6r = 0 7 + -2r = 0 Add '-7' to each side of the equation. 7 + -7 + -2r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2r = 0 + -7 -2r = 0 + -7 Combine like terms: 0 + -7 = -7 -2r = -7 Divide each side by '-2'. r = 3.5 Simplifying r = 3.5
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