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Simplifying 6r + 5 = 8(r + 2) + 2r Reorder the terms: 5 + 6r = 8(r + 2) + 2r Reorder the terms: 5 + 6r = 8(2 + r) + 2r 5 + 6r = (2 * 8 + r * 8) + 2r 5 + 6r = (16 + 8r) + 2r Combine like terms: 8r + 2r = 10r 5 + 6r = 16 + 10r Solving 5 + 6r = 16 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 5 + 6r + -10r = 16 + 10r + -10r Combine like terms: 6r + -10r = -4r 5 + -4r = 16 + 10r + -10r Combine like terms: 10r + -10r = 0 5 + -4r = 16 + 0 5 + -4r = 16 Add '-5' to each side of the equation. 5 + -5 + -4r = 16 + -5 Combine like terms: 5 + -5 = 0 0 + -4r = 16 + -5 -4r = 16 + -5 Combine like terms: 16 + -5 = 11 -4r = 11 Divide each side by '-4'. r = -2.75 Simplifying r = -2.75
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