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Simplifying 6(4k + 4) + k = -4(6k + -6) Reorder the terms: 6(4 + 4k) + k = -4(6k + -6) (4 * 6 + 4k * 6) + k = -4(6k + -6) (24 + 24k) + k = -4(6k + -6) Combine like terms: 24k + k = 25k 24 + 25k = -4(6k + -6) Reorder the terms: 24 + 25k = -4(-6 + 6k) 24 + 25k = (-6 * -4 + 6k * -4) 24 + 25k = (24 + -24k) Add '-24' to each side of the equation. 24 + -24 + 25k = 24 + -24 + -24k Combine like terms: 24 + -24 = 0 0 + 25k = 24 + -24 + -24k 25k = 24 + -24 + -24k Combine like terms: 24 + -24 = 0 25k = 0 + -24k 25k = -24k Solving 25k = -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. 25k + 24k = -24k + 24k Combine like terms: 25k + 24k = 49k 49k = -24k + 24k Combine like terms: -24k + 24k = 0 49k = 0 Divide each side by '49'. k = 0 Simplifying k = 0
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