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Simplifying (4r + -5s + 9t) * 3 = 0 Reorder the terms for easier multiplication: 3(4r + -5s + 9t) = 0 (4r * 3 + -5s * 3 + 9t * 3) = 0 (12r + -15s + 27t) = 0 Solving 12r + -15s + 27t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '15s' to each side of the equation. 12r + -15s + 15s + 27t = 0 + 15s Combine like terms: -15s + 15s = 0 12r + 0 + 27t = 0 + 15s 12r + 27t = 0 + 15s Remove the zero: 12r + 27t = 15s Add '-27t' to each side of the equation. 12r + 27t + -27t = 15s + -27t Combine like terms: 27t + -27t = 0 12r + 0 = 15s + -27t 12r = 15s + -27t Divide each side by '12'. r = 1.25s + -2.25t Simplifying r = 1.25s + -2.25t
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