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Simplifying 1 + 4(-4 + 7k) = -15 + -7k 1 + (-4 * 4 + 7k * 4) = -15 + -7k 1 + (-16 + 28k) = -15 + -7k Combine like terms: 1 + -16 = -15 -15 + 28k = -15 + -7k Add '15' to each side of the equation. -15 + 15 + 28k = -15 + 15 + -7k Combine like terms: -15 + 15 = 0 0 + 28k = -15 + 15 + -7k 28k = -15 + 15 + -7k Combine like terms: -15 + 15 = 0 28k = 0 + -7k 28k = -7k Solving 28k = -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. 28k + 7k = -7k + 7k Combine like terms: 28k + 7k = 35k 35k = -7k + 7k Combine like terms: -7k + 7k = 0 35k = 0 Divide each side by '35'. k = 0 Simplifying k = 0
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