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Simplifying 342 + -1k = -64(26k + 48) + -44k Reorder the terms: 342 + -1k = -64(48 + 26k) + -44k 342 + -1k = (48 * -64 + 26k * -64) + -44k 342 + -1k = (-3072 + -1664k) + -44k Combine like terms: -1664k + -44k = -1708k 342 + -1k = -3072 + -1708k Solving 342 + -1k = -3072 + -1708k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1708k' to each side of the equation. 342 + -1k + 1708k = -3072 + -1708k + 1708k Combine like terms: -1k + 1708k = 1707k 342 + 1707k = -3072 + -1708k + 1708k Combine like terms: -1708k + 1708k = 0 342 + 1707k = -3072 + 0 342 + 1707k = -3072 Add '-342' to each side of the equation. 342 + -342 + 1707k = -3072 + -342 Combine like terms: 342 + -342 = 0 0 + 1707k = -3072 + -342 1707k = -3072 + -342 Combine like terms: -3072 + -342 = -3414 1707k = -3414 Divide each side by '1707'. k = -2 Simplifying k = -2
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