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Simplifying 6 + -3(1 + 8k) = 33 6 + (1 * -3 + 8k * -3) = 33 6 + (-3 + -24k) = 33 Combine like terms: 6 + -3 = 3 3 + -24k = 33 Solving 3 + -24k = 33 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -24k = 33 + -3 Combine like terms: 3 + -3 = 0 0 + -24k = 33 + -3 -24k = 33 + -3 Combine like terms: 33 + -3 = 30 -24k = 30 Divide each side by '-24'. k = -1.25 Simplifying k = -1.25
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