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Simplifying -5(r + -5s + -6t) = 0 (r * -5 + -5s * -5 + -6t * -5) = 0 (-5r + 25s + 30t) = 0 Solving -5r + 25s + 30t = 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 + 30t = 0 + -25s Combine like terms: 25s + -25s = 0 -5r + 0 + 30t = 0 + -25s -5r + 30t = 0 + -25s Remove the zero: -5r + 30t = -25s Add '-30t' to each side of the equation. -5r + 30t + -30t = -25s + -30t Combine like terms: 30t + -30t = 0 -5r + 0 = -25s + -30t -5r = -25s + -30t Divide each side by '-5'. r = 5s + 6t Simplifying r = 5s + 6t
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