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Simplifying 7 + 3r = 9r + 22 + -4r Reorder the terms: 7 + 3r = 22 + 9r + -4r Combine like terms: 9r + -4r = 5r 7 + 3r = 22 + 5r Solving 7 + 3r = 22 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 7 + 3r + -5r = 22 + 5r + -5r Combine like terms: 3r + -5r = -2r 7 + -2r = 22 + 5r + -5r Combine like terms: 5r + -5r = 0 7 + -2r = 22 + 0 7 + -2r = 22 Add '-7' to each side of the equation. 7 + -7 + -2r = 22 + -7 Combine like terms: 7 + -7 = 0 0 + -2r = 22 + -7 -2r = 22 + -7 Combine like terms: 22 + -7 = 15 -2r = 15 Divide each side by '-2'. r = -7.5 Simplifying r = -7.5
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