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Simplifying -6 + -4(7 + -4k) = 22 + 2k -6 + (7 * -4 + -4k * -4) = 22 + 2k -6 + (-28 + 16k) = 22 + 2k Combine like terms: -6 + -28 = -34 -34 + 16k = 22 + 2k Solving -34 + 16k = 22 + 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. -34 + 16k + -2k = 22 + 2k + -2k Combine like terms: 16k + -2k = 14k -34 + 14k = 22 + 2k + -2k Combine like terms: 2k + -2k = 0 -34 + 14k = 22 + 0 -34 + 14k = 22 Add '34' to each side of the equation. -34 + 34 + 14k = 22 + 34 Combine like terms: -34 + 34 = 0 0 + 14k = 22 + 34 14k = 22 + 34 Combine like terms: 22 + 34 = 56 14k = 56 Divide each side by '14'. k = 4 Simplifying k = 4
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