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Simplifying 10 = 5r + 2 + -2r + 14 Reorder the terms: 10 = 2 + 14 + 5r + -2r Combine like terms: 2 + 14 = 16 10 = 16 + 5r + -2r Combine like terms: 5r + -2r = 3r 10 = 16 + 3r Solving 10 = 16 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 10 + -3r = 16 + 3r + -3r Combine like terms: 3r + -3r = 0 10 + -3r = 16 + 0 10 + -3r = 16 Add '-10' to each side of the equation. 10 + -10 + -3r = 16 + -10 Combine like terms: 10 + -10 = 0 0 + -3r = 16 + -10 -3r = 16 + -10 Combine like terms: 16 + -10 = 6 -3r = 6 Divide each side by '-3'. r = -2 Simplifying r = -2
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