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Simplifying 5r + -21 = -49 + 9r Reorder the terms: -21 + 5r = -49 + 9r Solving -21 + 5r = -49 + 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. -21 + 5r + -9r = -49 + 9r + -9r Combine like terms: 5r + -9r = -4r -21 + -4r = -49 + 9r + -9r Combine like terms: 9r + -9r = 0 -21 + -4r = -49 + 0 -21 + -4r = -49 Add '21' to each side of the equation. -21 + 21 + -4r = -49 + 21 Combine like terms: -21 + 21 = 0 0 + -4r = -49 + 21 -4r = -49 + 21 Combine like terms: -49 + 21 = -28 -4r = -28 Divide each side by '-4'. r = 7 Simplifying r = 7
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