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Simplifying -1x + -1(13 + 4k) = -3(5 + -9x) + 2 -1x + (13 * -1 + 4k * -1) = -3(5 + -9x) + 2 -1x + (-13 + -4k) = -3(5 + -9x) + 2 Reorder the terms: -13 + -4k + -1x = -3(5 + -9x) + 2 -13 + -4k + -1x = (5 * -3 + -9x * -3) + 2 -13 + -4k + -1x = (-15 + 27x) + 2 Reorder the terms: -13 + -4k + -1x = -15 + 2 + 27x Combine like terms: -15 + 2 = -13 -13 + -4k + -1x = -13 + 27x Add '13' to each side of the equation. -13 + -4k + 13 + -1x = -13 + 13 + 27x Reorder the terms: -13 + 13 + -4k + -1x = -13 + 13 + 27x Combine like terms: -13 + 13 = 0 0 + -4k + -1x = -13 + 13 + 27x -4k + -1x = -13 + 13 + 27x Combine like terms: -13 + 13 = 0 -4k + -1x = 0 + 27x -4k + -1x = 27x Solving -4k + -1x = 27x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'x' to each side of the equation. -4k + -1x + x = 27x + x Combine like terms: -1x + x = 0 -4k + 0 = 27x + x -4k = 27x + x Combine like terms: 27x + x = 28x -4k = 28x Divide each side by '-4'. k = -7x Simplifying k = -7x
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