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Simplifying 9(-9r + -19) = -20r + 12 Reorder the terms: 9(-19 + -9r) = -20r + 12 (-19 * 9 + -9r * 9) = -20r + 12 (-171 + -81r) = -20r + 12 Reorder the terms: -171 + -81r = 12 + -20r Solving -171 + -81r = 12 + -20r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '20r' to each side of the equation. -171 + -81r + 20r = 12 + -20r + 20r Combine like terms: -81r + 20r = -61r -171 + -61r = 12 + -20r + 20r Combine like terms: -20r + 20r = 0 -171 + -61r = 12 + 0 -171 + -61r = 12 Add '171' to each side of the equation. -171 + 171 + -61r = 12 + 171 Combine like terms: -171 + 171 = 0 0 + -61r = 12 + 171 -61r = 12 + 171 Combine like terms: 12 + 171 = 183 -61r = 183 Divide each side by '-61'. r = -3 Simplifying r = -3
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