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Simplifying 4r + -2 = 5r + 6 Reorder the terms: -2 + 4r = 5r + 6 Reorder the terms: -2 + 4r = 6 + 5r Solving -2 + 4r = 6 + 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 = 6 + 5r + -5r Combine like terms: 4r + -5r = -1r -2 + -1r = 6 + 5r + -5r Combine like terms: 5r + -5r = 0 -2 + -1r = 6 + 0 -2 + -1r = 6 Add '2' to each side of the equation. -2 + 2 + -1r = 6 + 2 Combine like terms: -2 + 2 = 0 0 + -1r = 6 + 2 -1r = 6 + 2 Combine like terms: 6 + 2 = 8 -1r = 8 Divide each side by '-1'. r = -8 Simplifying r = -8
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