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Simplifying 4r + 5 = 7r + 7 Reorder the terms: 5 + 4r = 7r + 7 Reorder the terms: 5 + 4r = 7 + 7r Solving 5 + 4r = 7 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 5 + 4r + -7r = 7 + 7r + -7r Combine like terms: 4r + -7r = -3r 5 + -3r = 7 + 7r + -7r Combine like terms: 7r + -7r = 0 5 + -3r = 7 + 0 5 + -3r = 7 Add '-5' to each side of the equation. 5 + -5 + -3r = 7 + -5 Combine like terms: 5 + -5 = 0 0 + -3r = 7 + -5 -3r = 7 + -5 Combine like terms: 7 + -5 = 2 -3r = 2 Divide each side by '-3'. r = -0.6666666667 Simplifying r = -0.6666666667
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