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Simplifying -7 = 1 + 2k + -4k Combine like terms: 2k + -4k = -2k -7 = 1 + -2k Solving -7 = 1 + -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. -7 + 2k = 1 + -2k + 2k Combine like terms: -2k + 2k = 0 -7 + 2k = 1 + 0 -7 + 2k = 1 Add '7' to each side of the equation. -7 + 7 + 2k = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 2k = 1 + 7 2k = 1 + 7 Combine like terms: 1 + 7 = 8 2k = 8 Divide each side by '2'. k = 4 Simplifying k = 4
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