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Simplifying 6 + -4(1 + 2k) = -20 6 + (1 * -4 + 2k * -4) = -20 6 + (-4 + -8k) = -20 Combine like terms: 6 + -4 = 2 2 + -8k = -20 Solving 2 + -8k = -20 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -8k = -20 + -2 Combine like terms: 2 + -2 = 0 0 + -8k = -20 + -2 -8k = -20 + -2 Combine like terms: -20 + -2 = -22 -8k = -22 Divide each side by '-8'. k = 2.75 Simplifying k = 2.75
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