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