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Simplifying 5r + 16 = 2r + 6 + 4 Reorder the terms: 16 + 5r = 2r + 6 + 4 Reorder the terms: 16 + 5r = 6 + 4 + 2r Combine like terms: 6 + 4 = 10 16 + 5r = 10 + 2r Solving 16 + 5r = 10 + 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. 16 + 5r + -2r = 10 + 2r + -2r Combine like terms: 5r + -2r = 3r 16 + 3r = 10 + 2r + -2r Combine like terms: 2r + -2r = 0 16 + 3r = 10 + 0 16 + 3r = 10 Add '-16' to each side of the equation. 16 + -16 + 3r = 10 + -16 Combine like terms: 16 + -16 = 0 0 + 3r = 10 + -16 3r = 10 + -16 Combine like terms: 10 + -16 = -6 3r = -6 Divide each side by '3'. r = -2 Simplifying r = -2
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