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Simplifying -11(r + 5) + 6 = -2r + 41 Reorder the terms: -11(5 + r) + 6 = -2r + 41 (5 * -11 + r * -11) + 6 = -2r + 41 (-55 + -11r) + 6 = -2r + 41 Reorder the terms: -55 + 6 + -11r = -2r + 41 Combine like terms: -55 + 6 = -49 -49 + -11r = -2r + 41 Reorder the terms: -49 + -11r = 41 + -2r Solving -49 + -11r = 41 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -49 + -11r + 2r = 41 + -2r + 2r Combine like terms: -11r + 2r = -9r -49 + -9r = 41 + -2r + 2r Combine like terms: -2r + 2r = 0 -49 + -9r = 41 + 0 -49 + -9r = 41 Add '49' to each side of the equation. -49 + 49 + -9r = 41 + 49 Combine like terms: -49 + 49 = 0 0 + -9r = 41 + 49 -9r = 41 + 49 Combine like terms: 41 + 49 = 90 -9r = 90 Divide each side by '-9'. r = -10 Simplifying r = -10
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