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Simplifying 5r + -11 = 21 + 4(1 + -1r) Reorder the terms: -11 + 5r = 21 + 4(1 + -1r) -11 + 5r = 21 + (1 * 4 + -1r * 4) -11 + 5r = 21 + (4 + -4r) Combine like terms: 21 + 4 = 25 -11 + 5r = 25 + -4r Solving -11 + 5r = 25 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. -11 + 5r + 4r = 25 + -4r + 4r Combine like terms: 5r + 4r = 9r -11 + 9r = 25 + -4r + 4r Combine like terms: -4r + 4r = 0 -11 + 9r = 25 + 0 -11 + 9r = 25 Add '11' to each side of the equation. -11 + 11 + 9r = 25 + 11 Combine like terms: -11 + 11 = 0 0 + 9r = 25 + 11 9r = 25 + 11 Combine like terms: 25 + 11 = 36 9r = 36 Divide each side by '9'. r = 4 Simplifying r = 4
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