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Simplifying -26 = -3 + 4(k + 2) Reorder the terms: -26 = -3 + 4(2 + k) -26 = -3 + (2 * 4 + k * 4) -26 = -3 + (8 + 4k) Combine like terms: -3 + 8 = 5 -26 = 5 + 4k Solving -26 = 5 + 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. -26 + -4k = 5 + 4k + -4k Combine like terms: 4k + -4k = 0 -26 + -4k = 5 + 0 -26 + -4k = 5 Add '26' to each side of the equation. -26 + 26 + -4k = 5 + 26 Combine like terms: -26 + 26 = 0 0 + -4k = 5 + 26 -4k = 5 + 26 Combine like terms: 5 + 26 = 31 -4k = 31 Divide each side by '-4'. k = -7.75 Simplifying k = -7.75
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