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Simplifying -7r + -1 = -13 + 6 + -5r Reorder the terms: -1 + -7r = -13 + 6 + -5r Combine like terms: -13 + 6 = -7 -1 + -7r = -7 + -5r Solving -1 + -7r = -7 + -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. -1 + -7r + 5r = -7 + -5r + 5r Combine like terms: -7r + 5r = -2r -1 + -2r = -7 + -5r + 5r Combine like terms: -5r + 5r = 0 -1 + -2r = -7 + 0 -1 + -2r = -7 Add '1' to each side of the equation. -1 + 1 + -2r = -7 + 1 Combine like terms: -1 + 1 = 0 0 + -2r = -7 + 1 -2r = -7 + 1 Combine like terms: -7 + 1 = -6 -2r = -6 Divide each side by '-2'. r = 3 Simplifying r = 3
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