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Simplifying -1 = -4(8k + -6) + -1(k + -8) Reorder the terms: -1 = -4(-6 + 8k) + -1(k + -8) -1 = (-6 * -4 + 8k * -4) + -1(k + -8) -1 = (24 + -32k) + -1(k + -8) Reorder the terms: -1 = 24 + -32k + -1(-8 + k) -1 = 24 + -32k + (-8 * -1 + k * -1) -1 = 24 + -32k + (8 + -1k) Reorder the terms: -1 = 24 + 8 + -32k + -1k Combine like terms: 24 + 8 = 32 -1 = 32 + -32k + -1k Combine like terms: -32k + -1k = -33k -1 = 32 + -33k Solving -1 = 32 + -33k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '33k' to each side of the equation. -1 + 33k = 32 + -33k + 33k Combine like terms: -33k + 33k = 0 -1 + 33k = 32 + 0 -1 + 33k = 32 Add '1' to each side of the equation. -1 + 1 + 33k = 32 + 1 Combine like terms: -1 + 1 = 0 0 + 33k = 32 + 1 33k = 32 + 1 Combine like terms: 32 + 1 = 33 33k = 33 Divide each side by '33'. k = 1 Simplifying k = 1
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