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Simplifying -4(k + 6) + -1(-5k + 8) = -7 Reorder the terms: -4(6 + k) + -1(-5k + 8) = -7 (6 * -4 + k * -4) + -1(-5k + 8) = -7 (-24 + -4k) + -1(-5k + 8) = -7 Reorder the terms: -24 + -4k + -1(8 + -5k) = -7 -24 + -4k + (8 * -1 + -5k * -1) = -7 -24 + -4k + (-8 + 5k) = -7 Reorder the terms: -24 + -8 + -4k + 5k = -7 Combine like terms: -24 + -8 = -32 -32 + -4k + 5k = -7 Combine like terms: -4k + 5k = 1k -32 + 1k = -7 Solving -32 + 1k = -7 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + 1k = -7 + 32 Combine like terms: -32 + 32 = 0 0 + 1k = -7 + 32 1k = -7 + 32 Combine like terms: -7 + 32 = 25 1k = 25 Divide each side by '1'. k = 25 Simplifying k = 25
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