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Simplifying 7 + -5r + 3r = 2r + -9 Combine like terms: -5r + 3r = -2r 7 + -2r = 2r + -9 Reorder the terms: 7 + -2r = -9 + 2r Solving 7 + -2r = -9 + 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 + -2r + -2r = -9 + 2r + -2r Combine like terms: -2r + -2r = -4r 7 + -4r = -9 + 2r + -2r Combine like terms: 2r + -2r = 0 7 + -4r = -9 + 0 7 + -4r = -9 Add '-7' to each side of the equation. 7 + -7 + -4r = -9 + -7 Combine like terms: 7 + -7 = 0 0 + -4r = -9 + -7 -4r = -9 + -7 Combine like terms: -9 + -7 = -16 -4r = -16 Divide each side by '-4'. r = 4 Simplifying r = 4
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