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Simplifying 7(r + -1) = r + -13 + 4r Reorder the terms: 7(-1 + r) = r + -13 + 4r (-1 * 7 + r * 7) = r + -13 + 4r (-7 + 7r) = r + -13 + 4r Reorder the terms: -7 + 7r = -13 + r + 4r Combine like terms: r + 4r = 5r -7 + 7r = -13 + 5r Solving -7 + 7r = -13 + 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. -7 + 7r + -5r = -13 + 5r + -5r Combine like terms: 7r + -5r = 2r -7 + 2r = -13 + 5r + -5r Combine like terms: 5r + -5r = 0 -7 + 2r = -13 + 0 -7 + 2r = -13 Add '7' to each side of the equation. -7 + 7 + 2r = -13 + 7 Combine like terms: -7 + 7 = 0 0 + 2r = -13 + 7 2r = -13 + 7 Combine like terms: -13 + 7 = -6 2r = -6 Divide each side by '2'. r = -3 Simplifying r = -3
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