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Simplifying -2 + -4(5 + 6k) = 4k + 34 -2 + (5 * -4 + 6k * -4) = 4k + 34 -2 + (-20 + -24k) = 4k + 34 Combine like terms: -2 + -20 = -22 -22 + -24k = 4k + 34 Reorder the terms: -22 + -24k = 34 + 4k Solving -22 + -24k = 34 + 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. -22 + -24k + -4k = 34 + 4k + -4k Combine like terms: -24k + -4k = -28k -22 + -28k = 34 + 4k + -4k Combine like terms: 4k + -4k = 0 -22 + -28k = 34 + 0 -22 + -28k = 34 Add '22' to each side of the equation. -22 + 22 + -28k = 34 + 22 Combine like terms: -22 + 22 = 0 0 + -28k = 34 + 22 -28k = 34 + 22 Combine like terms: 34 + 22 = 56 -28k = 56 Divide each side by '-28'. k = -2 Simplifying k = -2
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