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Simplifying k + -10 = 4(2 + k) Reorder the terms: -10 + k = 4(2 + k) -10 + k = (2 * 4 + k * 4) -10 + k = (8 + 4k) Solving -10 + k = 8 + 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. -10 + k + -4k = 8 + 4k + -4k Combine like terms: k + -4k = -3k -10 + -3k = 8 + 4k + -4k Combine like terms: 4k + -4k = 0 -10 + -3k = 8 + 0 -10 + -3k = 8 Add '10' to each side of the equation. -10 + 10 + -3k = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -3k = 8 + 10 -3k = 8 + 10 Combine like terms: 8 + 10 = 18 -3k = 18 Divide each side by '-3'. k = -6 Simplifying k = -6
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