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Simplifying -5(k + 1) + -4 = -4(k + 4) Reorder the terms: -5(1 + k) + -4 = -4(k + 4) (1 * -5 + k * -5) + -4 = -4(k + 4) (-5 + -5k) + -4 = -4(k + 4) Reorder the terms: -5 + -4 + -5k = -4(k + 4) Combine like terms: -5 + -4 = -9 -9 + -5k = -4(k + 4) Reorder the terms: -9 + -5k = -4(4 + k) -9 + -5k = (4 * -4 + k * -4) -9 + -5k = (-16 + -4k) Solving -9 + -5k = -16 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -9 + -5k + 4k = -16 + -4k + 4k Combine like terms: -5k + 4k = -1k -9 + -1k = -16 + -4k + 4k Combine like terms: -4k + 4k = 0 -9 + -1k = -16 + 0 -9 + -1k = -16 Add '9' to each side of the equation. -9 + 9 + -1k = -16 + 9 Combine like terms: -9 + 9 = 0 0 + -1k = -16 + 9 -1k = -16 + 9 Combine like terms: -16 + 9 = -7 -1k = -7 Divide each side by '-1'. k = 7 Simplifying k = 7
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