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Simplifying (3r + 4S) + (25 + -5t) + (5r + -3s) = 0 Reorder the terms: (4S + 3r) + (25 + -5t) + (5r + -3s) = 0 Remove parenthesis around (4S + 3r) 4S + 3r + (25 + -5t) + (5r + -3s) = 0 Remove parenthesis around (25 + -5t) 4S + 3r + 25 + -5t + (5r + -3s) = 0 Remove parenthesis around (5r + -3s) 4S + 3r + 25 + -5t + 5r + -3s = 0 Reorder the terms: 25 + 4S + 3r + 5r + -3s + -5t = 0 Combine like terms: 3r + 5r = 8r 25 + 4S + 8r + -3s + -5t = 0 Solving 25 + 4S + 8r + -3s + -5t = 0 Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + 4S + 8r + -3s + -25 + -5t = 0 + -25 Reorder the terms: 25 + -25 + 4S + 8r + -3s + -5t = 0 + -25 Combine like terms: 25 + -25 = 0 0 + 4S + 8r + -3s + -5t = 0 + -25 4S + 8r + -3s + -5t = 0 + -25 Combine like terms: 0 + -25 = -25 4S + 8r + -3s + -5t = -25 Add '-8r' to each side of the equation. 4S + 8r + -3s + -8r + -5t = -25 + -8r Reorder the terms: 4S + 8r + -8r + -3s + -5t = -25 + -8r Combine like terms: 8r + -8r = 0 4S + 0 + -3s + -5t = -25 + -8r 4S + -3s + -5t = -25 + -8r Add '3s' to each side of the equation. 4S + -3s + 3s + -5t = -25 + -8r + 3s Combine like terms: -3s + 3s = 0 4S + 0 + -5t = -25 + -8r + 3s 4S + -5t = -25 + -8r + 3s Add '5t' to each side of the equation. 4S + -5t + 5t = -25 + -8r + 3s + 5t Combine like terms: -5t + 5t = 0 4S + 0 = -25 + -8r + 3s + 5t 4S = -25 + -8r + 3s + 5t Divide each side by '4'. S = -6.25 + -2r + 0.75s + 1.25t Simplifying S = -6.25 + -2r + 0.75s + 1.25t
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