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Simplifying 5(7k + -3) + 3 = 31 + -81k Reorder the terms: 5(-3 + 7k) + 3 = 31 + -81k (-3 * 5 + 7k * 5) + 3 = 31 + -81k (-15 + 35k) + 3 = 31 + -81k Reorder the terms: -15 + 3 + 35k = 31 + -81k Combine like terms: -15 + 3 = -12 -12 + 35k = 31 + -81k Solving -12 + 35k = 31 + -81k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '81k' to each side of the equation. -12 + 35k + 81k = 31 + -81k + 81k Combine like terms: 35k + 81k = 116k -12 + 116k = 31 + -81k + 81k Combine like terms: -81k + 81k = 0 -12 + 116k = 31 + 0 -12 + 116k = 31 Add '12' to each side of the equation. -12 + 12 + 116k = 31 + 12 Combine like terms: -12 + 12 = 0 0 + 116k = 31 + 12 116k = 31 + 12 Combine like terms: 31 + 12 = 43 116k = 43 Divide each side by '116'. k = 0.3706896552 Simplifying k = 0.3706896552
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