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Simplifying 6x(3 + k) = 48 (3 * 6x + k * 6x) = 48 Reorder the terms: (6kx + 18x) = 48 (6kx + 18x) = 48 Solving 6kx + 18x = 48 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18x' to each side of the equation. 6kx + 18x + -18x = 48 + -18x Combine like terms: 18x + -18x = 0 6kx + 0 = 48 + -18x 6kx = 48 + -18x Divide each side by '6x'. k = 8x-1 + -3 Simplifying k = 8x-1 + -3 Reorder the terms: k = -3 + 8x-1
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