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Simplifying 128 = 8(-1 + k) 128 = (-1 * 8 + k * 8) 128 = (-8 + 8k) Solving 128 = -8 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 128 + -8k = -8 + 8k + -8k Combine like terms: 8k + -8k = 0 128 + -8k = -8 + 0 128 + -8k = -8 Add '-128' to each side of the equation. 128 + -128 + -8k = -8 + -128 Combine like terms: 128 + -128 = 0 0 + -8k = -8 + -128 -8k = -8 + -128 Combine like terms: -8 + -128 = -136 -8k = -136 Divide each side by '-8'. k = 17 Simplifying k = 17
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