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Simplifying 93 = 3(1 + -8k) + -6 93 = (1 * 3 + -8k * 3) + -6 93 = (3 + -24k) + -6 Reorder the terms: 93 = 3 + -6 + -24k Combine like terms: 3 + -6 = -3 93 = -3 + -24k Solving 93 = -3 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. 93 + 24k = -3 + -24k + 24k Combine like terms: -24k + 24k = 0 93 + 24k = -3 + 0 93 + 24k = -3 Add '-93' to each side of the equation. 93 + -93 + 24k = -3 + -93 Combine like terms: 93 + -93 = 0 0 + 24k = -3 + -93 24k = -3 + -93 Combine like terms: -3 + -93 = -96 24k = -96 Divide each side by '24'. k = -4 Simplifying k = -4
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