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Simplifying -3(k + -7) + -1(-4k + -3) = 8 Reorder the terms: -3(-7 + k) + -1(-4k + -3) = 8 (-7 * -3 + k * -3) + -1(-4k + -3) = 8 (21 + -3k) + -1(-4k + -3) = 8 Reorder the terms: 21 + -3k + -1(-3 + -4k) = 8 21 + -3k + (-3 * -1 + -4k * -1) = 8 21 + -3k + (3 + 4k) = 8 Reorder the terms: 21 + 3 + -3k + 4k = 8 Combine like terms: 21 + 3 = 24 24 + -3k + 4k = 8 Combine like terms: -3k + 4k = 1k 24 + 1k = 8 Solving 24 + 1k = 8 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 1k = 8 + -24 Combine like terms: 24 + -24 = 0 0 + 1k = 8 + -24 1k = 8 + -24 Combine like terms: 8 + -24 = -16 1k = -16 Divide each side by '1'. k = -16 Simplifying k = -16
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