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Simplifying (9r + -7s + 3t) * 5 = 0 Reorder the terms for easier multiplication: 5(9r + -7s + 3t) = 0 (9r * 5 + -7s * 5 + 3t * 5) = 0 (45r + -35s + 15t) = 0 Solving 45r + -35s + 15t = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '35s' to each side of the equation. 45r + -35s + 35s + 15t = 0 + 35s Combine like terms: -35s + 35s = 0 45r + 0 + 15t = 0 + 35s 45r + 15t = 0 + 35s Remove the zero: 45r + 15t = 35s Add '-15t' to each side of the equation. 45r + 15t + -15t = 35s + -15t Combine like terms: 15t + -15t = 0 45r + 0 = 35s + -15t 45r = 35s + -15t Divide each side by '45'. r = 0.7777777778s + -0.3333333333t Simplifying r = 0.7777777778s + -0.3333333333t
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