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Simplifying ak + -1y + -5y + -1k + 10 = 0 Reorder the terms: 10 + ak + -1k + -1y + -5y = 0 Combine like terms: -1y + -5y = -6y 10 + ak + -1k + -6y = 0 Solving 10 + ak + -1k + -6y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + ak + -1k + -10 + -6y = 0 + -10 Reorder the terms: 10 + -10 + ak + -1k + -6y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + ak + -1k + -6y = 0 + -10 ak + -1k + -6y = 0 + -10 Combine like terms: 0 + -10 = -10 ak + -1k + -6y = -10 Add 'k' to each side of the equation. ak + -1k + k + -6y = -10 + k Combine like terms: -1k + k = 0 ak + 0 + -6y = -10 + k ak + -6y = -10 + k Add '6y' to each side of the equation. ak + -6y + 6y = -10 + k + 6y Combine like terms: -6y + 6y = 0 ak + 0 = -10 + k + 6y ak = -10 + k + 6y Divide each side by 'k'. a = -10k-1 + 1 + 6k-1y Simplifying a = -10k-1 + 1 + 6k-1y Reorder the terms: a = 1 + -10k-1 + 6k-1y
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