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Simplifying -7k + 28 = 8(-5k + -4) + -6 Reorder the terms: 28 + -7k = 8(-5k + -4) + -6 Reorder the terms: 28 + -7k = 8(-4 + -5k) + -6 28 + -7k = (-4 * 8 + -5k * 8) + -6 28 + -7k = (-32 + -40k) + -6 Reorder the terms: 28 + -7k = -32 + -6 + -40k Combine like terms: -32 + -6 = -38 28 + -7k = -38 + -40k Solving 28 + -7k = -38 + -40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '40k' to each side of the equation. 28 + -7k + 40k = -38 + -40k + 40k Combine like terms: -7k + 40k = 33k 28 + 33k = -38 + -40k + 40k Combine like terms: -40k + 40k = 0 28 + 33k = -38 + 0 28 + 33k = -38 Add '-28' to each side of the equation. 28 + -28 + 33k = -38 + -28 Combine like terms: 28 + -28 = 0 0 + 33k = -38 + -28 33k = -38 + -28 Combine like terms: -38 + -28 = -66 33k = -66 Divide each side by '33'. k = -2 Simplifying k = -2
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