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Simplifying 7r + -2 + 5r = 6r + 6 + -4r Reorder the terms: -2 + 7r + 5r = 6r + 6 + -4r Combine like terms: 7r + 5r = 12r -2 + 12r = 6r + 6 + -4r Reorder the terms: -2 + 12r = 6 + 6r + -4r Combine like terms: 6r + -4r = 2r -2 + 12r = 6 + 2r Solving -2 + 12r = 6 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. -2 + 12r + -2r = 6 + 2r + -2r Combine like terms: 12r + -2r = 10r -2 + 10r = 6 + 2r + -2r Combine like terms: 2r + -2r = 0 -2 + 10r = 6 + 0 -2 + 10r = 6 Add '2' to each side of the equation. -2 + 2 + 10r = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 10r = 6 + 2 10r = 6 + 2 Combine like terms: 6 + 2 = 8 10r = 8 Divide each side by '10'. r = 0.8 Simplifying r = 0.8
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