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Simplifying -105 = 6 + -3(8k + 5) Reorder the terms: -105 = 6 + -3(5 + 8k) -105 = 6 + (5 * -3 + 8k * -3) -105 = 6 + (-15 + -24k) Combine like terms: 6 + -15 = -9 -105 = -9 + -24k Solving -105 = -9 + -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. -105 + 24k = -9 + -24k + 24k Combine like terms: -24k + 24k = 0 -105 + 24k = -9 + 0 -105 + 24k = -9 Add '105' to each side of the equation. -105 + 105 + 24k = -9 + 105 Combine like terms: -105 + 105 = 0 0 + 24k = -9 + 105 24k = -9 + 105 Combine like terms: -9 + 105 = 96 24k = 96 Divide each side by '24'. k = 4 Simplifying k = 4
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