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Simplifying 9(r + -5) = 11r + 3 Reorder the terms: 9(-5 + r) = 11r + 3 (-5 * 9 + r * 9) = 11r + 3 (-45 + 9r) = 11r + 3 Reorder the terms: -45 + 9r = 3 + 11r Solving -45 + 9r = 3 + 11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-11r' to each side of the equation. -45 + 9r + -11r = 3 + 11r + -11r Combine like terms: 9r + -11r = -2r -45 + -2r = 3 + 11r + -11r Combine like terms: 11r + -11r = 0 -45 + -2r = 3 + 0 -45 + -2r = 3 Add '45' to each side of the equation. -45 + 45 + -2r = 3 + 45 Combine like terms: -45 + 45 = 0 0 + -2r = 3 + 45 -2r = 3 + 45 Combine like terms: 3 + 45 = 48 -2r = 48 Divide each side by '-2'. r = -24 Simplifying r = -24
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