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Simplifying 6 + -2r + 1 = 3r + -5 Reorder the terms: 6 + 1 + -2r = 3r + -5 Combine like terms: 6 + 1 = 7 7 + -2r = 3r + -5 Reorder the terms: 7 + -2r = -5 + 3r Solving 7 + -2r = -5 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 7 + -2r + -3r = -5 + 3r + -3r Combine like terms: -2r + -3r = -5r 7 + -5r = -5 + 3r + -3r Combine like terms: 3r + -3r = 0 7 + -5r = -5 + 0 7 + -5r = -5 Add '-7' to each side of the equation. 7 + -7 + -5r = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -5r = -5 + -7 -5r = -5 + -7 Combine like terms: -5 + -7 = -12 -5r = -12 Divide each side by '-5'. r = 2.4 Simplifying r = 2.4
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