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Simplifying 5r + 5 = 2r + 4 + -6 Reorder the terms: 5 + 5r = 2r + 4 + -6 Reorder the terms: 5 + 5r = 4 + -6 + 2r Combine like terms: 4 + -6 = -2 5 + 5r = -2 + 2r Solving 5 + 5r = -2 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 5 + 5r + -2r = -2 + 2r + -2r Combine like terms: 5r + -2r = 3r 5 + 3r = -2 + 2r + -2r Combine like terms: 2r + -2r = 0 5 + 3r = -2 + 0 5 + 3r = -2 Add '-5' to each side of the equation. 5 + -5 + 3r = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 3r = -2 + -5 3r = -2 + -5 Combine like terms: -2 + -5 = -7 3r = -7 Divide each side by '3'. r = -2.333333333 Simplifying r = -2.333333333
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