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Simplifying 13 + -4r = r + 3 + -7r Reorder the terms: 13 + -4r = 3 + r + -7r Combine like terms: r + -7r = -6r 13 + -4r = 3 + -6r Solving 13 + -4r = 3 + -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. 13 + -4r + 6r = 3 + -6r + 6r Combine like terms: -4r + 6r = 2r 13 + 2r = 3 + -6r + 6r Combine like terms: -6r + 6r = 0 13 + 2r = 3 + 0 13 + 2r = 3 Add '-13' to each side of the equation. 13 + -13 + 2r = 3 + -13 Combine like terms: 13 + -13 = 0 0 + 2r = 3 + -13 2r = 3 + -13 Combine like terms: 3 + -13 = -10 2r = -10 Divide each side by '2'. r = -5 Simplifying r = -5
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