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Simplifying 8k + 38 = 7(4k + -6) Reorder the terms: 38 + 8k = 7(4k + -6) Reorder the terms: 38 + 8k = 7(-6 + 4k) 38 + 8k = (-6 * 7 + 4k * 7) 38 + 8k = (-42 + 28k) Solving 38 + 8k = -42 + 28k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-28k' to each side of the equation. 38 + 8k + -28k = -42 + 28k + -28k Combine like terms: 8k + -28k = -20k 38 + -20k = -42 + 28k + -28k Combine like terms: 28k + -28k = 0 38 + -20k = -42 + 0 38 + -20k = -42 Add '-38' to each side of the equation. 38 + -38 + -20k = -42 + -38 Combine like terms: 38 + -38 = 0 0 + -20k = -42 + -38 -20k = -42 + -38 Combine like terms: -42 + -38 = -80 -20k = -80 Divide each side by '-20'. k = 4 Simplifying k = 4
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