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Simplifying 10r + -8 = 5 + 7 + 6r Reorder the terms: -8 + 10r = 5 + 7 + 6r Combine like terms: 5 + 7 = 12 -8 + 10r = 12 + 6r Solving -8 + 10r = 12 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -8 + 10r + -6r = 12 + 6r + -6r Combine like terms: 10r + -6r = 4r -8 + 4r = 12 + 6r + -6r Combine like terms: 6r + -6r = 0 -8 + 4r = 12 + 0 -8 + 4r = 12 Add '8' to each side of the equation. -8 + 8 + 4r = 12 + 8 Combine like terms: -8 + 8 = 0 0 + 4r = 12 + 8 4r = 12 + 8 Combine like terms: 12 + 8 = 20 4r = 20 Divide each side by '4'. r = 5 Simplifying r = 5
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