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Simplifying 9r + (2r + -28) = 7r Reorder the terms: 9r + (-28 + 2r) = 7r Remove parenthesis around (-28 + 2r) 9r + -28 + 2r = 7r Reorder the terms: -28 + 9r + 2r = 7r Combine like terms: 9r + 2r = 11r -28 + 11r = 7r Solving -28 + 11r = 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. -28 + 11r + -7r = 7r + -7r Combine like terms: 11r + -7r = 4r -28 + 4r = 7r + -7r Combine like terms: 7r + -7r = 0 -28 + 4r = 0 Add '28' to each side of the equation. -28 + 28 + 4r = 0 + 28 Combine like terms: -28 + 28 = 0 0 + 4r = 0 + 28 4r = 0 + 28 Combine like terms: 0 + 28 = 28 4r = 28 Divide each side by '4'. r = 7 Simplifying r = 7
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