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Simplifying -5(r + -5s + -8t) = 0 (r * -5 + -5s * -5 + -8t * -5) = 0 (-5r + 25s + 40t) = 0 Solving -5r + 25s + 40t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-25s' to each side of the equation. -5r + 25s + -25s + 40t = 0 + -25s Combine like terms: 25s + -25s = 0 -5r + 0 + 40t = 0 + -25s -5r + 40t = 0 + -25s Remove the zero: -5r + 40t = -25s Add '-40t' to each side of the equation. -5r + 40t + -40t = -25s + -40t Combine like terms: 40t + -40t = 0 -5r + 0 = -25s + -40t -5r = -25s + -40t Divide each side by '-5'. r = 5s + 8t Simplifying r = 5s + 8t
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