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