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Simplifying (5r + -4s + 9t) * 8 = 0 Reorder the terms for easier multiplication: 8(5r + -4s + 9t) = 0 (5r * 8 + -4s * 8 + 9t * 8) = 0 (40r + -32s + 72t) = 0 Solving 40r + -32s + 72t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '32s' to each side of the equation. 40r + -32s + 32s + 72t = 0 + 32s Combine like terms: -32s + 32s = 0 40r + 0 + 72t = 0 + 32s 40r + 72t = 0 + 32s Remove the zero: 40r + 72t = 32s Add '-72t' to each side of the equation. 40r + 72t + -72t = 32s + -72t Combine like terms: 72t + -72t = 0 40r + 0 = 32s + -72t 40r = 32s + -72t Divide each side by '40'. r = 0.8s + -1.8t Simplifying r = 0.8s + -1.8t
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