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Simplifying -4(k + 12) + -1(-3k + -5) = -2k Reorder the terms: -4(12 + k) + -1(-3k + -5) = -2k (12 * -4 + k * -4) + -1(-3k + -5) = -2k (-48 + -4k) + -1(-3k + -5) = -2k Reorder the terms: -48 + -4k + -1(-5 + -3k) = -2k -48 + -4k + (-5 * -1 + -3k * -1) = -2k -48 + -4k + (5 + 3k) = -2k Reorder the terms: -48 + 5 + -4k + 3k = -2k Combine like terms: -48 + 5 = -43 -43 + -4k + 3k = -2k Combine like terms: -4k + 3k = -1k -43 + -1k = -2k Solving -43 + -1k = -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. -43 + -1k + 2k = -2k + 2k Combine like terms: -1k + 2k = 1k -43 + 1k = -2k + 2k Combine like terms: -2k + 2k = 0 -43 + 1k = 0 Add '43' to each side of the equation. -43 + 43 + 1k = 0 + 43 Combine like terms: -43 + 43 = 0 0 + 1k = 0 + 43 1k = 0 + 43 Combine like terms: 0 + 43 = 43 1k = 43 Divide each side by '1'. k = 43 Simplifying k = 43
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