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Simplifying 6r + 5 = (8r + 16) + -2 Reorder the terms: 5 + 6r = (8r + 16) + -2 Reorder the terms: 5 + 6r = (16 + 8r) + -2 Remove parenthesis around (16 + 8r) 5 + 6r = 16 + 8r + -2 Reorder the terms: 5 + 6r = 16 + -2 + 8r Combine like terms: 16 + -2 = 14 5 + 6r = 14 + 8r Solving 5 + 6r = 14 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 5 + 6r + -8r = 14 + 8r + -8r Combine like terms: 6r + -8r = -2r 5 + -2r = 14 + 8r + -8r Combine like terms: 8r + -8r = 0 5 + -2r = 14 + 0 5 + -2r = 14 Add '-5' to each side of the equation. 5 + -5 + -2r = 14 + -5 Combine like terms: 5 + -5 = 0 0 + -2r = 14 + -5 -2r = 14 + -5 Combine like terms: 14 + -5 = 9 -2r = 9 Divide each side by '-2'. r = -4.5 Simplifying r = -4.5
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