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Simplifying -7r + -8 = 6r + 5 Reorder the terms: -8 + -7r = 6r + 5 Reorder the terms: -8 + -7r = 5 + 6r Solving -8 + -7r = 5 + 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. -8 + -7r + -6r = 5 + 6r + -6r Combine like terms: -7r + -6r = -13r -8 + -13r = 5 + 6r + -6r Combine like terms: 6r + -6r = 0 -8 + -13r = 5 + 0 -8 + -13r = 5 Add '8' to each side of the equation. -8 + 8 + -13r = 5 + 8 Combine like terms: -8 + 8 = 0 0 + -13r = 5 + 8 -13r = 5 + 8 Combine like terms: 5 + 8 = 13 -13r = 13 Divide each side by '-13'. r = -1 Simplifying r = -1
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