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Simplifying 4r + 3 = 7r + -1 Reorder the terms: 3 + 4r = 7r + -1 Reorder the terms: 3 + 4r = -1 + 7r Solving 3 + 4r = -1 + 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. 3 + 4r + -7r = -1 + 7r + -7r Combine like terms: 4r + -7r = -3r 3 + -3r = -1 + 7r + -7r Combine like terms: 7r + -7r = 0 3 + -3r = -1 + 0 3 + -3r = -1 Add '-3' to each side of the equation. 3 + -3 + -3r = -1 + -3 Combine like terms: 3 + -3 = 0 0 + -3r = -1 + -3 -3r = -1 + -3 Combine like terms: -1 + -3 = -4 -3r = -4 Divide each side by '-3'. r = 1.333333333 Simplifying r = 1.333333333
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