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Simplifying 8 + 4r + -4 = 9r + 7 + -2r Reorder the terms: 8 + -4 + 4r = 9r + 7 + -2r Combine like terms: 8 + -4 = 4 4 + 4r = 9r + 7 + -2r Reorder the terms: 4 + 4r = 7 + 9r + -2r Combine like terms: 9r + -2r = 7r 4 + 4r = 7 + 7r Solving 4 + 4r = 7 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 4 + 4r + -7r = 7 + 7r + -7r Combine like terms: 4r + -7r = -3r 4 + -3r = 7 + 7r + -7r Combine like terms: 7r + -7r = 0 4 + -3r = 7 + 0 4 + -3r = 7 Add '-4' to each side of the equation. 4 + -4 + -3r = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -3r = 7 + -4 -3r = 7 + -4 Combine like terms: 7 + -4 = 3 -3r = 3 Divide each side by '-3'. r = -1 Simplifying r = -1
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