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Simplifying -4 = (5 + k) * 2 Reorder the terms for easier multiplication: -4 = 2(5 + k) -4 = (5 * 2 + k * 2) -4 = (10 + 2k) Solving -4 = 10 + 2k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2k' to each side of the equation. -4 + -2k = 10 + 2k + -2k Combine like terms: 2k + -2k = 0 -4 + -2k = 10 + 0 -4 + -2k = 10 Add '4' to each side of the equation. -4 + 4 + -2k = 10 + 4 Combine like terms: -4 + 4 = 0 0 + -2k = 10 + 4 -2k = 10 + 4 Combine like terms: 10 + 4 = 14 -2k = 14 Divide each side by '-2'. k = -7 Simplifying k = -7
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