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Simplifying -128 = -4(8k + -8) + -8k Reorder the terms: -128 = -4(-8 + 8k) + -8k -128 = (-8 * -4 + 8k * -4) + -8k -128 = (32 + -32k) + -8k Combine like terms: -32k + -8k = -40k -128 = 32 + -40k Solving -128 = 32 + -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. -128 + 40k = 32 + -40k + 40k Combine like terms: -40k + 40k = 0 -128 + 40k = 32 + 0 -128 + 40k = 32 Add '128' to each side of the equation. -128 + 128 + 40k = 32 + 128 Combine like terms: -128 + 128 = 0 0 + 40k = 32 + 128 40k = 32 + 128 Combine like terms: 32 + 128 = 160 40k = 160 Divide each side by '40'. k = 4 Simplifying k = 4
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