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Simplifying 304 + -1s + 24(s + 4c + 52as) = 51862 Reorder the terms: 304 + -1s + 24(52as + 4c + s) = 51862 304 + -1s + (52as * 24 + 4c * 24 + s * 24) = 51862 304 + -1s + (1248as + 96c + 24s) = 51862 Reorder the terms: 304 + 1248as + 96c + -1s + 24s = 51862 Combine like terms: -1s + 24s = 23s 304 + 1248as + 96c + 23s = 51862 Solving 304 + 1248as + 96c + 23s = 51862 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-304' to each side of the equation. 304 + 1248as + 96c + -304 + 23s = 51862 + -304 Reorder the terms: 304 + -304 + 1248as + 96c + 23s = 51862 + -304 Combine like terms: 304 + -304 = 0 0 + 1248as + 96c + 23s = 51862 + -304 1248as + 96c + 23s = 51862 + -304 Combine like terms: 51862 + -304 = 51558 1248as + 96c + 23s = 51558 Add '-96c' to each side of the equation. 1248as + 96c + -96c + 23s = 51558 + -96c Combine like terms: 96c + -96c = 0 1248as + 0 + 23s = 51558 + -96c 1248as + 23s = 51558 + -96c Add '-23s' to each side of the equation. 1248as + 23s + -23s = 51558 + -96c + -23s Combine like terms: 23s + -23s = 0 1248as + 0 = 51558 + -96c + -23s 1248as = 51558 + -96c + -23s Divide each side by '1248s'. a = 41.3125s-1 + -0.07692307692cs-1 + -0.01842948718 Simplifying a = 41.3125s-1 + -0.07692307692cs-1 + -0.01842948718 Reorder the terms: a = -0.01842948718 + -0.07692307692cs-1 + 41.3125s-1
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