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Simplifying -9(6r + -8) = -16 + 5r Reorder the terms: -9(-8 + 6r) = -16 + 5r (-8 * -9 + 6r * -9) = -16 + 5r (72 + -54r) = -16 + 5r Solving 72 + -54r = -16 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 72 + -54r + -5r = -16 + 5r + -5r Combine like terms: -54r + -5r = -59r 72 + -59r = -16 + 5r + -5r Combine like terms: 5r + -5r = 0 72 + -59r = -16 + 0 72 + -59r = -16 Add '-72' to each side of the equation. 72 + -72 + -59r = -16 + -72 Combine like terms: 72 + -72 = 0 0 + -59r = -16 + -72 -59r = -16 + -72 Combine like terms: -16 + -72 = -88 -59r = -88 Divide each side by '-59'. r = 1.491525424 Simplifying r = 1.491525424
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