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Simplifying (9r + -4s + 2t) * 6 = 0 Reorder the terms for easier multiplication: 6(9r + -4s + 2t) = 0 (9r * 6 + -4s * 6 + 2t * 6) = 0 (54r + -24s + 12t) = 0 Solving 54r + -24s + 12t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '24s' to each side of the equation. 54r + -24s + 24s + 12t = 0 + 24s Combine like terms: -24s + 24s = 0 54r + 0 + 12t = 0 + 24s 54r + 12t = 0 + 24s Remove the zero: 54r + 12t = 24s Add '-12t' to each side of the equation. 54r + 12t + -12t = 24s + -12t Combine like terms: 12t + -12t = 0 54r + 0 = 24s + -12t 54r = 24s + -12t Divide each side by '54'. r = 0.4444444444s + -0.2222222222t Simplifying r = 0.4444444444s + -0.2222222222t
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