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Simplifying 38 + -3k = -4(4k + 8) + -8 Reorder the terms: 38 + -3k = -4(8 + 4k) + -8 38 + -3k = (8 * -4 + 4k * -4) + -8 38 + -3k = (-32 + -16k) + -8 Reorder the terms: 38 + -3k = -32 + -8 + -16k Combine like terms: -32 + -8 = -40 38 + -3k = -40 + -16k Solving 38 + -3k = -40 + -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. 38 + -3k + 16k = -40 + -16k + 16k Combine like terms: -3k + 16k = 13k 38 + 13k = -40 + -16k + 16k Combine like terms: -16k + 16k = 0 38 + 13k = -40 + 0 38 + 13k = -40 Add '-38' to each side of the equation. 38 + -38 + 13k = -40 + -38 Combine like terms: 38 + -38 = 0 0 + 13k = -40 + -38 13k = -40 + -38 Combine like terms: -40 + -38 = -78 13k = -78 Divide each side by '13'. k = -6 Simplifying k = -6
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