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Simplifying 5r + -13 = 1 + 7r Reorder the terms: -13 + 5r = 1 + 7r Solving -13 + 5r = 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 + 5r + -7r = 1 + 7r + -7r Combine like terms: 5r + -7r = -2r -13 + -2r = 1 + 7r + -7r Combine like terms: 7r + -7r = 0 -13 + -2r = 1 + 0 -13 + -2r = 1 Add '13' to each side of the equation. -13 + 13 + -2r = 1 + 13 Combine like terms: -13 + 13 = 0 0 + -2r = 1 + 13 -2r = 1 + 13 Combine like terms: 1 + 13 = 14 -2r = 14 Divide each side by '-2'. r = -7 Simplifying r = -7
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