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Simplifying -6(k + 8) + -1(-4k + -5) = -3k Reorder the terms: -6(8 + k) + -1(-4k + -5) = -3k (8 * -6 + k * -6) + -1(-4k + -5) = -3k (-48 + -6k) + -1(-4k + -5) = -3k Reorder the terms: -48 + -6k + -1(-5 + -4k) = -3k -48 + -6k + (-5 * -1 + -4k * -1) = -3k -48 + -6k + (5 + 4k) = -3k Reorder the terms: -48 + 5 + -6k + 4k = -3k Combine like terms: -48 + 5 = -43 -43 + -6k + 4k = -3k Combine like terms: -6k + 4k = -2k -43 + -2k = -3k Solving -43 + -2k = -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -43 + -2k + 3k = -3k + 3k Combine like terms: -2k + 3k = 1k -43 + 1k = -3k + 3k Combine like terms: -3k + 3k = 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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