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Simplifying -5r + 7 = -5 + -2r Reorder the terms: 7 + -5r = -5 + -2r Solving 7 + -5r = -5 + -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. 7 + -5r + 2r = -5 + -2r + 2r Combine like terms: -5r + 2r = -3r 7 + -3r = -5 + -2r + 2r Combine like terms: -2r + 2r = 0 7 + -3r = -5 + 0 7 + -3r = -5 Add '-7' to each side of the equation. 7 + -7 + -3r = -5 + -7 Combine like terms: 7 + -7 = 0 0 + -3r = -5 + -7 -3r = -5 + -7 Combine like terms: -5 + -7 = -12 -3r = -12 Divide each side by '-3'. r = 4 Simplifying r = 4
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