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Simplifying 13 + -3r = -7r + 6 + -5 Reorder the terms: 13 + -3r = 6 + -5 + -7r Combine like terms: 6 + -5 = 1 13 + -3r = 1 + -7r Solving 13 + -3r = 1 + -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. 13 + -3r + 7r = 1 + -7r + 7r Combine like terms: -3r + 7r = 4r 13 + 4r = 1 + -7r + 7r Combine like terms: -7r + 7r = 0 13 + 4r = 1 + 0 13 + 4r = 1 Add '-13' to each side of the equation. 13 + -13 + 4r = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 4r = 1 + -13 4r = 1 + -13 Combine like terms: 1 + -13 = -12 4r = -12 Divide each side by '4'. r = -3 Simplifying r = -3
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