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Simplifying -4(k + 7) + -1(-5k + 5) = -5 Reorder the terms: -4(7 + k) + -1(-5k + 5) = -5 (7 * -4 + k * -4) + -1(-5k + 5) = -5 (-28 + -4k) + -1(-5k + 5) = -5 Reorder the terms: -28 + -4k + -1(5 + -5k) = -5 -28 + -4k + (5 * -1 + -5k * -1) = -5 -28 + -4k + (-5 + 5k) = -5 Reorder the terms: -28 + -5 + -4k + 5k = -5 Combine like terms: -28 + -5 = -33 -33 + -4k + 5k = -5 Combine like terms: -4k + 5k = 1k -33 + 1k = -5 Solving -33 + 1k = -5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 1k = -5 + 33 Combine like terms: -33 + 33 = 0 0 + 1k = -5 + 33 1k = -5 + 33 Combine like terms: -5 + 33 = 28 1k = 28 Divide each side by '1'. k = 28 Simplifying k = 28
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