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Simplifying -6r + -5 = 7r + 21 Reorder the terms: -5 + -6r = 7r + 21 Reorder the terms: -5 + -6r = 21 + 7r Solving -5 + -6r = 21 + 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. -5 + -6r + -7r = 21 + 7r + -7r Combine like terms: -6r + -7r = -13r -5 + -13r = 21 + 7r + -7r Combine like terms: 7r + -7r = 0 -5 + -13r = 21 + 0 -5 + -13r = 21 Add '5' to each side of the equation. -5 + 5 + -13r = 21 + 5 Combine like terms: -5 + 5 = 0 0 + -13r = 21 + 5 -13r = 21 + 5 Combine like terms: 21 + 5 = 26 -13r = 26 Divide each side by '-13'. r = -2 Simplifying r = -2
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