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Simplifying -128 = 8(k + -9) Reorder the terms: -128 = 8(-9 + k) -128 = (-9 * 8 + k * 8) -128 = (-72 + 8k) Solving -128 = -72 + 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 = -72 + 8k + -8k Combine like terms: 8k + -8k = 0 -128 + -8k = -72 + 0 -128 + -8k = -72 Add '128' to each side of the equation. -128 + 128 + -8k = -72 + 128 Combine like terms: -128 + 128 = 0 0 + -8k = -72 + 128 -8k = -72 + 128 Combine like terms: -72 + 128 = 56 -8k = 56 Divide each side by '-8'. k = -7 Simplifying k = -7
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