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Simplifying 10r + -8 + 2r = 6r + 7 Reorder the terms: -8 + 10r + 2r = 6r + 7 Combine like terms: 10r + 2r = 12r -8 + 12r = 6r + 7 Reorder the terms: -8 + 12r = 7 + 6r Solving -8 + 12r = 7 + 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 + 12r + -6r = 7 + 6r + -6r Combine like terms: 12r + -6r = 6r -8 + 6r = 7 + 6r + -6r Combine like terms: 6r + -6r = 0 -8 + 6r = 7 + 0 -8 + 6r = 7 Add '8' to each side of the equation. -8 + 8 + 6r = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 6r = 7 + 8 6r = 7 + 8 Combine like terms: 7 + 8 = 15 6r = 15 Divide each side by '6'. r = 2.5 Simplifying r = 2.5
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