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Simplifying 2516.6x + 722.4y + 828.4z + 413w + 903r + 1083.6s + 330.4t = 4109.6 Reorder the terms: 903r + 1083.6s + 330.4t + 413w + 2516.6x + 722.4y + 828.4z = 4109.6 Solving 903r + 1083.6s + 330.4t + 413w + 2516.6x + 722.4y + 828.4z = 4109.6 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1083.6s' to each side of the equation. 903r + 1083.6s + 330.4t + 413w + 2516.6x + 722.4y + -1083.6s + 828.4z = 4109.6 + -1083.6s Reorder the terms: 903r + 1083.6s + -1083.6s + 330.4t + 413w + 2516.6x + 722.4y + 828.4z = 4109.6 + -1083.6s Combine like terms: 1083.6s + -1083.6s = 0.0 903r + 0.0 + 330.4t + 413w + 2516.6x + 722.4y + 828.4z = 4109.6 + -1083.6s 903r + 330.4t + 413w + 2516.6x + 722.4y + 828.4z = 4109.6 + -1083.6s Add '-330.4t' to each side of the equation. 903r + 330.4t + 413w + 2516.6x + 722.4y + -330.4t + 828.4z = 4109.6 + -1083.6s + -330.4t Reorder the terms: 903r + 330.4t + -330.4t + 413w + 2516.6x + 722.4y + 828.4z = 4109.6 + -1083.6s + -330.4t Combine like terms: 330.4t + -330.4t = 0.0 903r + 0.0 + 413w + 2516.6x + 722.4y + 828.4z = 4109.6 + -1083.6s + -330.4t 903r + 413w + 2516.6x + 722.4y + 828.4z = 4109.6 + -1083.6s + -330.4t Add '-413w' to each side of the equation. 903r + 413w + 2516.6x + 722.4y + -413w + 828.4z = 4109.6 + -1083.6s + -330.4t + -413w Reorder the terms: 903r + 413w + -413w + 2516.6x + 722.4y + 828.4z = 4109.6 + -1083.6s + -330.4t + -413w Combine like terms: 413w + -413w = 0 903r + 0 + 2516.6x + 722.4y + 828.4z = 4109.6 + -1083.6s + -330.4t + -413w 903r + 2516.6x + 722.4y + 828.4z = 4109.6 + -1083.6s + -330.4t + -413w Add '-2516.6x' to each side of the equation. 903r + 2516.6x + 722.4y + -2516.6x + 828.4z = 4109.6 + -1083.6s + -330.4t + -413w + -2516.6x Reorder the terms: 903r + 2516.6x + -2516.6x + 722.4y + 828.4z = 4109.6 + -1083.6s + -330.4t + -413w + -2516.6x Combine like terms: 2516.6x + -2516.6x = 0.0 903r + 0.0 + 722.4y + 828.4z = 4109.6 + -1083.6s + -330.4t + -413w + -2516.6x 903r + 722.4y + 828.4z = 4109.6 + -1083.6s + -330.4t + -413w + -2516.6x Add '-722.4y' to each side of the equation. 903r + 722.4y + -722.4y + 828.4z = 4109.6 + -1083.6s + -330.4t + -413w + -2516.6x + -722.4y Combine like terms: 722.4y + -722.4y = 0.0 903r + 0.0 + 828.4z = 4109.6 + -1083.6s + -330.4t + -413w + -2516.6x + -722.4y 903r + 828.4z = 4109.6 + -1083.6s + -330.4t + -413w + -2516.6x + -722.4y Add '-828.4z' to each side of the equation. 903r + 828.4z + -828.4z = 4109.6 + -1083.6s + -330.4t + -413w + -2516.6x + -722.4y + -828.4z Combine like terms: 828.4z + -828.4z = 0.0 903r + 0.0 = 4109.6 + -1083.6s + -330.4t + -413w + -2516.6x + -722.4y + -828.4z 903r = 4109.6 + -1083.6s + -330.4t + -413w + -2516.6x + -722.4y + -828.4z Divide each side by '903'. r = 4.551052049 + -1.2s + -0.3658914729t + -0.4573643411w + -2.786932447x + -0.8y + -0.9173864895z Simplifying r = 4.551052049 + -1.2s + -0.3658914729t + -0.4573643411w + -2.786932447x + -0.8y + -0.9173864895z
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