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Simplifying 7r + 16 = 9r + -8 + 4r Reorder the terms: 16 + 7r = 9r + -8 + 4r Reorder the terms: 16 + 7r = -8 + 9r + 4r Combine like terms: 9r + 4r = 13r 16 + 7r = -8 + 13r Solving 16 + 7r = -8 + 13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-13r' to each side of the equation. 16 + 7r + -13r = -8 + 13r + -13r Combine like terms: 7r + -13r = -6r 16 + -6r = -8 + 13r + -13r Combine like terms: 13r + -13r = 0 16 + -6r = -8 + 0 16 + -6r = -8 Add '-16' to each side of the equation. 16 + -16 + -6r = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -6r = -8 + -16 -6r = -8 + -16 Combine like terms: -8 + -16 = -24 -6r = -24 Divide each side by '-6'. r = 4 Simplifying r = 4
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