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