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Simplifying 4r + 11(1 + -7r) = 7 + 4(1 + -11r) 4r + (1 * 11 + -7r * 11) = 7 + 4(1 + -11r) 4r + (11 + -77r) = 7 + 4(1 + -11r) Reorder the terms: 11 + 4r + -77r = 7 + 4(1 + -11r) Combine like terms: 4r + -77r = -73r 11 + -73r = 7 + 4(1 + -11r) 11 + -73r = 7 + (1 * 4 + -11r * 4) 11 + -73r = 7 + (4 + -44r) Combine like terms: 7 + 4 = 11 11 + -73r = 11 + -44r Add '-11' to each side of the equation. 11 + -11 + -73r = 11 + -11 + -44r Combine like terms: 11 + -11 = 0 0 + -73r = 11 + -11 + -44r -73r = 11 + -11 + -44r Combine like terms: 11 + -11 = 0 -73r = 0 + -44r -73r = -44r Solving -73r = -44r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '44r' to each side of the equation. -73r + 44r = -44r + 44r Combine like terms: -73r + 44r = -29r -29r = -44r + 44r Combine like terms: -44r + 44r = 0 -29r = 0 Divide each side by '-29'. r = 0 Simplifying r = 0
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