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Simplifying 5r + -3s + 6t = 7 Solving 5r + -3s + 6t = 7 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3s' to each side of the equation. 5r + -3s + 3s + 6t = 7 + 3s Combine like terms: -3s + 3s = 0 5r + 0 + 6t = 7 + 3s 5r + 6t = 7 + 3s Add '-6t' to each side of the equation. 5r + 6t + -6t = 7 + 3s + -6t Combine like terms: 6t + -6t = 0 5r + 0 = 7 + 3s + -6t 5r = 7 + 3s + -6t Divide each side by '5'. r = 1.4 + 0.6s + -1.2t Simplifying r = 1.4 + 0.6s + -1.2t
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