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Simplifying (7r + -8s + 6t) * 5 = 0 Reorder the terms for easier multiplication: 5(7r + -8s + 6t) = 0 (7r * 5 + -8s * 5 + 6t * 5) = 0 (35r + -40s + 30t) = 0 Solving 35r + -40s + 30t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '40s' to each side of the equation. 35r + -40s + 40s + 30t = 0 + 40s Combine like terms: -40s + 40s = 0 35r + 0 + 30t = 0 + 40s 35r + 30t = 0 + 40s Remove the zero: 35r + 30t = 40s Add '-30t' to each side of the equation. 35r + 30t + -30t = 40s + -30t Combine like terms: 30t + -30t = 0 35r + 0 = 40s + -30t 35r = 40s + -30t Divide each side by '35'. r = 1.142857143s + -0.8571428571t Simplifying r = 1.142857143s + -0.8571428571t
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