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Simplifying 3 + -5(1 + -1k) + -13k = 2 3 + (1 * -5 + -1k * -5) + -13k = 2 3 + (-5 + 5k) + -13k = 2 Combine like terms: 3 + -5 = -2 -2 + 5k + -13k = 2 Combine like terms: 5k + -13k = -8k -2 + -8k = 2 Solving -2 + -8k = 2 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 = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -8k = 2 + 2 -8k = 2 + 2 Combine like terms: 2 + 2 = 4 -8k = 4 Divide each side by '-8'. k = -0.5 Simplifying k = -0.5
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