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Simplifying 6a(s + -4t) + 5b(s + -4t) + 2(s + -4t) = 0 (s * 6a + -4t * 6a) + 5b(s + -4t) + 2(s + -4t) = 0 (6as + -24at) + 5b(s + -4t) + 2(s + -4t) = 0 6as + -24at + (s * 5b + -4t * 5b) + 2(s + -4t) = 0 6as + -24at + (5bs + -20bt) + 2(s + -4t) = 0 6as + -24at + 5bs + -20bt + (s * 2 + -4t * 2) = 0 6as + -24at + 5bs + -20bt + (2s + -8t) = 0 Solving 6as + -24at + 5bs + -20bt + 2s + -8t = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5bs' to each side of the equation. 6as + -24at + 5bs + -20bt + 2s + -5bs + -8t = 0 + -5bs Reorder the terms: 6as + -24at + 5bs + -5bs + -20bt + 2s + -8t = 0 + -5bs Combine like terms: 5bs + -5bs = 0 6as + -24at + 0 + -20bt + 2s + -8t = 0 + -5bs 6as + -24at + -20bt + 2s + -8t = 0 + -5bs Remove the zero: 6as + -24at + -20bt + 2s + -8t = -5bs Add '20bt' to each side of the equation. 6as + -24at + -20bt + 2s + 20bt + -8t = -5bs + 20bt Reorder the terms: 6as + -24at + -20bt + 20bt + 2s + -8t = -5bs + 20bt Combine like terms: -20bt + 20bt = 0 6as + -24at + 0 + 2s + -8t = -5bs + 20bt 6as + -24at + 2s + -8t = -5bs + 20bt Add '-2s' to each side of the equation. 6as + -24at + 2s + -2s + -8t = -5bs + 20bt + -2s Combine like terms: 2s + -2s = 0 6as + -24at + 0 + -8t = -5bs + 20bt + -2s 6as + -24at + -8t = -5bs + 20bt + -2s Add '8t' to each side of the equation. 6as + -24at + -8t + 8t = -5bs + 20bt + -2s + 8t Combine like terms: -8t + 8t = 0 6as + -24at + 0 = -5bs + 20bt + -2s + 8t 6as + -24at = -5bs + 20bt + -2s + 8t Reorder the terms: 6as + -24at + 5bs + -20bt + 2s + -8t = -5bs + 5bs + 20bt + -20bt + -2s + 2s + 8t + -8t Combine like terms: -5bs + 5bs = 0 6as + -24at + 5bs + -20bt + 2s + -8t = 0 + 20bt + -20bt + -2s + 2s + 8t + -8t 6as + -24at + 5bs + -20bt + 2s + -8t = 20bt + -20bt + -2s + 2s + 8t + -8t Combine like terms: 20bt + -20bt = 0 6as + -24at + 5bs + -20bt + 2s + -8t = 0 + -2s + 2s + 8t + -8t 6as + -24at + 5bs + -20bt + 2s + -8t = -2s + 2s + 8t + -8t Combine like terms: -2s + 2s = 0 6as + -24at + 5bs + -20bt + 2s + -8t = 0 + 8t + -8t 6as + -24at + 5bs + -20bt + 2s + -8t = 8t + -8t Combine like terms: 8t + -8t = 0 6as + -24at + 5bs + -20bt + 2s + -8t = 0 The solution to this equation could not be determined.
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