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Simplifying 6 + -3k + 18 = 8(-2k + 16) Reorder the terms: 6 + 18 + -3k = 8(-2k + 16) Combine like terms: 6 + 18 = 24 24 + -3k = 8(-2k + 16) Reorder the terms: 24 + -3k = 8(16 + -2k) 24 + -3k = (16 * 8 + -2k * 8) 24 + -3k = (128 + -16k) Solving 24 + -3k = 128 + -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. 24 + -3k + 16k = 128 + -16k + 16k Combine like terms: -3k + 16k = 13k 24 + 13k = 128 + -16k + 16k Combine like terms: -16k + 16k = 0 24 + 13k = 128 + 0 24 + 13k = 128 Add '-24' to each side of the equation. 24 + -24 + 13k = 128 + -24 Combine like terms: 24 + -24 = 0 0 + 13k = 128 + -24 13k = 128 + -24 Combine like terms: 128 + -24 = 104 13k = 104 Divide each side by '13'. k = 8 Simplifying k = 8
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