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Simplifying -4(k + 7) + -1(-5k + -4) = -9 Reorder the terms: -4(7 + k) + -1(-5k + -4) = -9 (7 * -4 + k * -4) + -1(-5k + -4) = -9 (-28 + -4k) + -1(-5k + -4) = -9 Reorder the terms: -28 + -4k + -1(-4 + -5k) = -9 -28 + -4k + (-4 * -1 + -5k * -1) = -9 -28 + -4k + (4 + 5k) = -9 Reorder the terms: -28 + 4 + -4k + 5k = -9 Combine like terms: -28 + 4 = -24 -24 + -4k + 5k = -9 Combine like terms: -4k + 5k = 1k -24 + 1k = -9 Solving -24 + 1k = -9 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 = -9 + 24 Combine like terms: -24 + 24 = 0 0 + 1k = -9 + 24 1k = -9 + 24 Combine like terms: -9 + 24 = 15 1k = 15 Divide each side by '1'. k = 15 Simplifying k = 15
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