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Simplifying -30x + 6k + -6(4x + -6) = 0 Reorder the terms: -30x + 6k + -6(-6 + 4x) = 0 -30x + 6k + (-6 * -6 + 4x * -6) = 0 -30x + 6k + (36 + -24x) = 0 Reorder the terms: 36 + 6k + -30x + -24x = 0 Combine like terms: -30x + -24x = -54x 36 + 6k + -54x = 0 Solving 36 + 6k + -54x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + 6k + -36 + -54x = 0 + -36 Reorder the terms: 36 + -36 + 6k + -54x = 0 + -36 Combine like terms: 36 + -36 = 0 0 + 6k + -54x = 0 + -36 6k + -54x = 0 + -36 Combine like terms: 0 + -36 = -36 6k + -54x = -36 Add '54x' to each side of the equation. 6k + -54x + 54x = -36 + 54x Combine like terms: -54x + 54x = 0 6k + 0 = -36 + 54x 6k = -36 + 54x Divide each side by '6'. k = -6 + 9x Simplifying k = -6 + 9x
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