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Simplifying 4r + 6 = 46 + -1r Reorder the terms: 6 + 4r = 46 + -1r Solving 6 + 4r = 46 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. 6 + 4r + r = 46 + -1r + r Combine like terms: 4r + r = 5r 6 + 5r = 46 + -1r + r Combine like terms: -1r + r = 0 6 + 5r = 46 + 0 6 + 5r = 46 Add '-6' to each side of the equation. 6 + -6 + 5r = 46 + -6 Combine like terms: 6 + -6 = 0 0 + 5r = 46 + -6 5r = 46 + -6 Combine like terms: 46 + -6 = 40 5r = 40 Divide each side by '5'. r = 8 Simplifying r = 8
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