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Simplifying 6k + -6(1 + -4k) = 6k + -30 6k + (1 * -6 + -4k * -6) = 6k + -30 6k + (-6 + 24k) = 6k + -30 Reorder the terms: -6 + 6k + 24k = 6k + -30 Combine like terms: 6k + 24k = 30k -6 + 30k = 6k + -30 Reorder the terms: -6 + 30k = -30 + 6k Solving -6 + 30k = -30 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -6 + 30k + -6k = -30 + 6k + -6k Combine like terms: 30k + -6k = 24k -6 + 24k = -30 + 6k + -6k Combine like terms: 6k + -6k = 0 -6 + 24k = -30 + 0 -6 + 24k = -30 Add '6' to each side of the equation. -6 + 6 + 24k = -30 + 6 Combine like terms: -6 + 6 = 0 0 + 24k = -30 + 6 24k = -30 + 6 Combine like terms: -30 + 6 = -24 24k = -24 Divide each side by '24'. k = -1 Simplifying k = -1
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