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Simplifying -3(k + 1) + -1k + -8 = 4(k + 4) + 5 Reorder the terms: -3(1 + k) + -1k + -8 = 4(k + 4) + 5 (1 * -3 + k * -3) + -1k + -8 = 4(k + 4) + 5 (-3 + -3k) + -1k + -8 = 4(k + 4) + 5 Reorder the terms: -3 + -8 + -3k + -1k = 4(k + 4) + 5 Combine like terms: -3 + -8 = -11 -11 + -3k + -1k = 4(k + 4) + 5 Combine like terms: -3k + -1k = -4k -11 + -4k = 4(k + 4) + 5 Reorder the terms: -11 + -4k = 4(4 + k) + 5 -11 + -4k = (4 * 4 + k * 4) + 5 -11 + -4k = (16 + 4k) + 5 Reorder the terms: -11 + -4k = 16 + 5 + 4k Combine like terms: 16 + 5 = 21 -11 + -4k = 21 + 4k Solving -11 + -4k = 21 + 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. -11 + -4k + -4k = 21 + 4k + -4k Combine like terms: -4k + -4k = -8k -11 + -8k = 21 + 4k + -4k Combine like terms: 4k + -4k = 0 -11 + -8k = 21 + 0 -11 + -8k = 21 Add '11' to each side of the equation. -11 + 11 + -8k = 21 + 11 Combine like terms: -11 + 11 = 0 0 + -8k = 21 + 11 -8k = 21 + 11 Combine like terms: 21 + 11 = 32 -8k = 32 Divide each side by '-8'. k = -4 Simplifying k = -4
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