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Simplifying 2k + -8(6k + 5) = 7k + -40 Reorder the terms: 2k + -8(5 + 6k) = 7k + -40 2k + (5 * -8 + 6k * -8) = 7k + -40 2k + (-40 + -48k) = 7k + -40 Reorder the terms: -40 + 2k + -48k = 7k + -40 Combine like terms: 2k + -48k = -46k -40 + -46k = 7k + -40 Reorder the terms: -40 + -46k = -40 + 7k Add '40' to each side of the equation. -40 + 40 + -46k = -40 + 40 + 7k Combine like terms: -40 + 40 = 0 0 + -46k = -40 + 40 + 7k -46k = -40 + 40 + 7k Combine like terms: -40 + 40 = 0 -46k = 0 + 7k -46k = 7k Solving -46k = 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -46k + -7k = 7k + -7k Combine like terms: -46k + -7k = -53k -53k = 7k + -7k Combine like terms: 7k + -7k = 0 -53k = 0 Divide each side by '-53'. k = 0 Simplifying k = 0
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