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Simplifying 30 + 5k = -6(4k + -8) Reorder the terms: 30 + 5k = -6(-8 + 4k) 30 + 5k = (-8 * -6 + 4k * -6) 30 + 5k = (48 + -24k) Solving 30 + 5k = 48 + -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. 30 + 5k + 24k = 48 + -24k + 24k Combine like terms: 5k + 24k = 29k 30 + 29k = 48 + -24k + 24k Combine like terms: -24k + 24k = 0 30 + 29k = 48 + 0 30 + 29k = 48 Add '-30' to each side of the equation. 30 + -30 + 29k = 48 + -30 Combine like terms: 30 + -30 = 0 0 + 29k = 48 + -30 29k = 48 + -30 Combine like terms: 48 + -30 = 18 29k = 18 Divide each side by '29'. k = 0.6206896552 Simplifying k = 0.6206896552
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