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Simplifying -128 = -6k + 8(5k + 1) Reorder the terms: -128 = -6k + 8(1 + 5k) -128 = -6k + (1 * 8 + 5k * 8) -128 = -6k + (8 + 40k) Reorder the terms: -128 = 8 + -6k + 40k Combine like terms: -6k + 40k = 34k -128 = 8 + 34k Solving -128 = 8 + 34k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-34k' to each side of the equation. -128 + -34k = 8 + 34k + -34k Combine like terms: 34k + -34k = 0 -128 + -34k = 8 + 0 -128 + -34k = 8 Add '128' to each side of the equation. -128 + 128 + -34k = 8 + 128 Combine like terms: -128 + 128 = 0 0 + -34k = 8 + 128 -34k = 8 + 128 Combine like terms: 8 + 128 = 136 -34k = 136 Divide each side by '-34'. k = -4 Simplifying k = -4
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