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Simplifying 6r + -5 = 7 + -2r Reorder the terms: -5 + 6r = 7 + -2r Solving -5 + 6r = 7 + -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. -5 + 6r + 2r = 7 + -2r + 2r Combine like terms: 6r + 2r = 8r -5 + 8r = 7 + -2r + 2r Combine like terms: -2r + 2r = 0 -5 + 8r = 7 + 0 -5 + 8r = 7 Add '5' to each side of the equation. -5 + 5 + 8r = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 8r = 7 + 5 8r = 7 + 5 Combine like terms: 7 + 5 = 12 8r = 12 Divide each side by '8'. r = 1.5 Simplifying r = 1.5
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