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Simplifying -38 + -3k = 8k + -6(-5 + -1k) -38 + -3k = 8k + (-5 * -6 + -1k * -6) -38 + -3k = 8k + (30 + 6k) Reorder the terms: -38 + -3k = 30 + 8k + 6k Combine like terms: 8k + 6k = 14k -38 + -3k = 30 + 14k Solving -38 + -3k = 30 + 14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-14k' to each side of the equation. -38 + -3k + -14k = 30 + 14k + -14k Combine like terms: -3k + -14k = -17k -38 + -17k = 30 + 14k + -14k Combine like terms: 14k + -14k = 0 -38 + -17k = 30 + 0 -38 + -17k = 30 Add '38' to each side of the equation. -38 + 38 + -17k = 30 + 38 Combine like terms: -38 + 38 = 0 0 + -17k = 30 + 38 -17k = 30 + 38 Combine like terms: 30 + 38 = 68 -17k = 68 Divide each side by '-17'. k = -4 Simplifying k = -4
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