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Simplifying 3 + -1(4k + 2) = -15 Reorder the terms: 3 + -1(2 + 4k) = -15 3 + (2 * -1 + 4k * -1) = -15 3 + (-2 + -4k) = -15 Combine like terms: 3 + -2 = 1 1 + -4k = -15 Solving 1 + -4k = -15 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4k = -15 + -1 Combine like terms: 1 + -1 = 0 0 + -4k = -15 + -1 -4k = -15 + -1 Combine like terms: -15 + -1 = -16 -4k = -16 Divide each side by '-4'. k = 4 Simplifying k = 4
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