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Simplifying 8 + 4r + -7 = 9r + 13 + -3r Reorder the terms: 8 + -7 + 4r = 9r + 13 + -3r Combine like terms: 8 + -7 = 1 1 + 4r = 9r + 13 + -3r Reorder the terms: 1 + 4r = 13 + 9r + -3r Combine like terms: 9r + -3r = 6r 1 + 4r = 13 + 6r Solving 1 + 4r = 13 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 1 + 4r + -6r = 13 + 6r + -6r Combine like terms: 4r + -6r = -2r 1 + -2r = 13 + 6r + -6r Combine like terms: 6r + -6r = 0 1 + -2r = 13 + 0 1 + -2r = 13 Add '-1' to each side of the equation. 1 + -1 + -2r = 13 + -1 Combine like terms: 1 + -1 = 0 0 + -2r = 13 + -1 -2r = 13 + -1 Combine like terms: 13 + -1 = 12 -2r = 12 Divide each side by '-2'. r = -6 Simplifying r = -6
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