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Simplifying -4 = -4(k + -7) Reorder the terms: -4 = -4(-7 + k) -4 = (-7 * -4 + k * -4) -4 = (28 + -4k) Solving -4 = 28 + -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. -4 + 4k = 28 + -4k + 4k Combine like terms: -4k + 4k = 0 -4 + 4k = 28 + 0 -4 + 4k = 28 Add '4' to each side of the equation. -4 + 4 + 4k = 28 + 4 Combine like terms: -4 + 4 = 0 0 + 4k = 28 + 4 4k = 28 + 4 Combine like terms: 28 + 4 = 32 4k = 32 Divide each side by '4'. k = 8 Simplifying k = 8
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