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Simplifying 4k + -6(1 + 7k) = -5k + -6 4k + (1 * -6 + 7k * -6) = -5k + -6 4k + (-6 + -42k) = -5k + -6 Reorder the terms: -6 + 4k + -42k = -5k + -6 Combine like terms: 4k + -42k = -38k -6 + -38k = -5k + -6 Reorder the terms: -6 + -38k = -6 + -5k Add '6' to each side of the equation. -6 + 6 + -38k = -6 + 6 + -5k Combine like terms: -6 + 6 = 0 0 + -38k = -6 + 6 + -5k -38k = -6 + 6 + -5k Combine like terms: -6 + 6 = 0 -38k = 0 + -5k -38k = -5k Solving -38k = -5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '5k' to each side of the equation. -38k + 5k = -5k + 5k Combine like terms: -38k + 5k = -33k -33k = -5k + 5k Combine like terms: -5k + 5k = 0 -33k = 0 Divide each side by '-33'. k = 0 Simplifying k = 0
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