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Simplifying 5 + 4r = -2 + -9r + 7 Reorder the terms: 5 + 4r = -2 + 7 + -9r Combine like terms: -2 + 7 = 5 5 + 4r = 5 + -9r Add '-5' to each side of the equation. 5 + -5 + 4r = 5 + -5 + -9r Combine like terms: 5 + -5 = 0 0 + 4r = 5 + -5 + -9r 4r = 5 + -5 + -9r Combine like terms: 5 + -5 = 0 4r = 0 + -9r 4r = -9r Solving 4r = -9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '9r' to each side of the equation. 4r + 9r = -9r + 9r Combine like terms: 4r + 9r = 13r 13r = -9r + 9r Combine like terms: -9r + 9r = 0 13r = 0 Divide each side by '13'. r = 0 Simplifying r = 0
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