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Simplifying -25 = -6 + 4(k + -2) Reorder the terms: -25 = -6 + 4(-2 + k) -25 = -6 + (-2 * 4 + k * 4) -25 = -6 + (-8 + 4k) Combine like terms: -6 + -8 = -14 -25 = -14 + 4k Solving -25 = -14 + 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. -25 + -4k = -14 + 4k + -4k Combine like terms: 4k + -4k = 0 -25 + -4k = -14 + 0 -25 + -4k = -14 Add '25' to each side of the equation. -25 + 25 + -4k = -14 + 25 Combine like terms: -25 + 25 = 0 0 + -4k = -14 + 25 -4k = -14 + 25 Combine like terms: -14 + 25 = 11 -4k = 11 Divide each side by '-4'. k = -2.75 Simplifying k = -2.75
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