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Simplifying 8[k + 6] = 3[k + 33] Reorder the terms: 8[6 + k] = 3[k + 33] [6 * 8 + k * 8] = 3[k + 33] [48 + 8k] = 3[k + 33] Reorder the terms: 48 + 8k = 3[33 + k] 48 + 8k = [33 * 3 + k * 3] 48 + 8k = [99 + 3k] Solving 48 + 8k = 99 + 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. 48 + 8k + -3k = 99 + 3k + -3k Combine like terms: 8k + -3k = 5k 48 + 5k = 99 + 3k + -3k Combine like terms: 3k + -3k = 0 48 + 5k = 99 + 0 48 + 5k = 99 Add '-48' to each side of the equation. 48 + -48 + 5k = 99 + -48 Combine like terms: 48 + -48 = 0 0 + 5k = 99 + -48 5k = 99 + -48 Combine like terms: 99 + -48 = 51 5k = 51 Divide each side by '5'. k = 10.2 Simplifying k = 10.2
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