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Simplifying 29 + 9r = 11r + 11(-7r + -11) Reorder the terms: 29 + 9r = 11r + 11(-11 + -7r) 29 + 9r = 11r + (-11 * 11 + -7r * 11) 29 + 9r = 11r + (-121 + -77r) Reorder the terms: 29 + 9r = -121 + 11r + -77r Combine like terms: 11r + -77r = -66r 29 + 9r = -121 + -66r Solving 29 + 9r = -121 + -66r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '66r' to each side of the equation. 29 + 9r + 66r = -121 + -66r + 66r Combine like terms: 9r + 66r = 75r 29 + 75r = -121 + -66r + 66r Combine like terms: -66r + 66r = 0 29 + 75r = -121 + 0 29 + 75r = -121 Add '-29' to each side of the equation. 29 + -29 + 75r = -121 + -29 Combine like terms: 29 + -29 = 0 0 + 75r = -121 + -29 75r = -121 + -29 Combine like terms: -121 + -29 = -150 75r = -150 Divide each side by '75'. r = -2 Simplifying r = -2
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