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Simplifying -4(14r + -99.43) + 81.03 = -91.5r + 12r + -97 Reorder the terms: -4(-99.43 + 14r) + 81.03 = -91.5r + 12r + -97 (-99.43 * -4 + 14r * -4) + 81.03 = -91.5r + 12r + -97 (397.72 + -56r) + 81.03 = -91.5r + 12r + -97 Reorder the terms: 397.72 + 81.03 + -56r = -91.5r + 12r + -97 Combine like terms: 397.72 + 81.03 = 478.75 478.75 + -56r = -91.5r + 12r + -97 Reorder the terms: 478.75 + -56r = -97 + -91.5r + 12r Combine like terms: -91.5r + 12r = -79.5r 478.75 + -56r = -97 + -79.5r Solving 478.75 + -56r = -97 + -79.5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '79.5r' to each side of the equation. 478.75 + -56r + 79.5r = -97 + -79.5r + 79.5r Combine like terms: -56r + 79.5r = 23.5r 478.75 + 23.5r = -97 + -79.5r + 79.5r Combine like terms: -79.5r + 79.5r = 0.0 478.75 + 23.5r = -97 + 0.0 478.75 + 23.5r = -97 Add '-478.75' to each side of the equation. 478.75 + -478.75 + 23.5r = -97 + -478.75 Combine like terms: 478.75 + -478.75 = 0.00 0.00 + 23.5r = -97 + -478.75 23.5r = -97 + -478.75 Combine like terms: -97 + -478.75 = -575.75 23.5r = -575.75 Divide each side by '23.5'. r = -24.5 Simplifying r = -24.5
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