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Simplifying 4 + -8(-9k + -8) = -8k + -8 Reorder the terms: 4 + -8(-8 + -9k) = -8k + -8 4 + (-8 * -8 + -9k * -8) = -8k + -8 4 + (64 + 72k) = -8k + -8 Combine like terms: 4 + 64 = 68 68 + 72k = -8k + -8 Reorder the terms: 68 + 72k = -8 + -8k Solving 68 + 72k = -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. 68 + 72k + 8k = -8 + -8k + 8k Combine like terms: 72k + 8k = 80k 68 + 80k = -8 + -8k + 8k Combine like terms: -8k + 8k = 0 68 + 80k = -8 + 0 68 + 80k = -8 Add '-68' to each side of the equation. 68 + -68 + 80k = -8 + -68 Combine like terms: 68 + -68 = 0 0 + 80k = -8 + -68 80k = -8 + -68 Combine like terms: -8 + -68 = -76 80k = -76 Divide each side by '80'. k = -0.95 Simplifying k = -0.95
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