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Simplifying -2(6 + 8k) = -3k + -38 (6 * -2 + 8k * -2) = -3k + -38 (-12 + -16k) = -3k + -38 Reorder the terms: -12 + -16k = -38 + -3k Solving -12 + -16k = -38 + -3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3k' to each side of the equation. -12 + -16k + 3k = -38 + -3k + 3k Combine like terms: -16k + 3k = -13k -12 + -13k = -38 + -3k + 3k Combine like terms: -3k + 3k = 0 -12 + -13k = -38 + 0 -12 + -13k = -38 Add '12' to each side of the equation. -12 + 12 + -13k = -38 + 12 Combine like terms: -12 + 12 = 0 0 + -13k = -38 + 12 -13k = -38 + 12 Combine like terms: -38 + 12 = -26 -13k = -26 Divide each side by '-13'. k = 2 Simplifying k = 2
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