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Simplifying 6a(s + -6t) + 5b(s + -6t) + 4(s + -6t) = 0 (s * 6a + -6t * 6a) + 5b(s + -6t) + 4(s + -6t) = 0 (6as + -36at) + 5b(s + -6t) + 4(s + -6t) = 0 6as + -36at + (s * 5b + -6t * 5b) + 4(s + -6t) = 0 6as + -36at + (5bs + -30bt) + 4(s + -6t) = 0 6as + -36at + 5bs + -30bt + (s * 4 + -6t * 4) = 0 6as + -36at + 5bs + -30bt + (4s + -24t) = 0 Solving 6as + -36at + 5bs + -30bt + 4s + -24t = 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 + -36at + 5bs + -30bt + 4s + -5bs + -24t = 0 + -5bs Reorder the terms: 6as + -36at + 5bs + -5bs + -30bt + 4s + -24t = 0 + -5bs Combine like terms: 5bs + -5bs = 0 6as + -36at + 0 + -30bt + 4s + -24t = 0 + -5bs 6as + -36at + -30bt + 4s + -24t = 0 + -5bs Remove the zero: 6as + -36at + -30bt + 4s + -24t = -5bs Add '30bt' to each side of the equation. 6as + -36at + -30bt + 4s + 30bt + -24t = -5bs + 30bt Reorder the terms: 6as + -36at + -30bt + 30bt + 4s + -24t = -5bs + 30bt Combine like terms: -30bt + 30bt = 0 6as + -36at + 0 + 4s + -24t = -5bs + 30bt 6as + -36at + 4s + -24t = -5bs + 30bt Add '-4s' to each side of the equation. 6as + -36at + 4s + -4s + -24t = -5bs + 30bt + -4s Combine like terms: 4s + -4s = 0 6as + -36at + 0 + -24t = -5bs + 30bt + -4s 6as + -36at + -24t = -5bs + 30bt + -4s Add '24t' to each side of the equation. 6as + -36at + -24t + 24t = -5bs + 30bt + -4s + 24t Combine like terms: -24t + 24t = 0 6as + -36at + 0 = -5bs + 30bt + -4s + 24t 6as + -36at = -5bs + 30bt + -4s + 24t Reorder the terms: 6as + -36at + 5bs + -30bt + 4s + -24t = -5bs + 5bs + 30bt + -30bt + -4s + 4s + 24t + -24t Combine like terms: -5bs + 5bs = 0 6as + -36at + 5bs + -30bt + 4s + -24t = 0 + 30bt + -30bt + -4s + 4s + 24t + -24t 6as + -36at + 5bs + -30bt + 4s + -24t = 30bt + -30bt + -4s + 4s + 24t + -24t Combine like terms: 30bt + -30bt = 0 6as + -36at + 5bs + -30bt + 4s + -24t = 0 + -4s + 4s + 24t + -24t 6as + -36at + 5bs + -30bt + 4s + -24t = -4s + 4s + 24t + -24t Combine like terms: -4s + 4s = 0 6as + -36at + 5bs + -30bt + 4s + -24t = 0 + 24t + -24t 6as + -36at + 5bs + -30bt + 4s + -24t = 24t + -24t Combine like terms: 24t + -24t = 0 6as + -36at + 5bs + -30bt + 4s + -24t = 0 The solution to this equation could not be determined.
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