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Simplifying 38 = -4 + 3(6 + 8k) 38 = -4 + (6 * 3 + 8k * 3) 38 = -4 + (18 + 24k) Combine like terms: -4 + 18 = 14 38 = 14 + 24k Solving 38 = 14 + 24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24k' to each side of the equation. 38 + -24k = 14 + 24k + -24k Combine like terms: 24k + -24k = 0 38 + -24k = 14 + 0 38 + -24k = 14 Add '-38' to each side of the equation. 38 + -38 + -24k = 14 + -38 Combine like terms: 38 + -38 = 0 0 + -24k = 14 + -38 -24k = 14 + -38 Combine like terms: 14 + -38 = -24 -24k = -24 Divide each side by '-24'. k = 1 Simplifying k = 1
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