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Simplifying -30 + 4k = -6(5 + -8k) -30 + 4k = (5 * -6 + -8k * -6) -30 + 4k = (-30 + 48k) Add '30' to each side of the equation. -30 + 30 + 4k = -30 + 30 + 48k Combine like terms: -30 + 30 = 0 0 + 4k = -30 + 30 + 48k 4k = -30 + 30 + 48k Combine like terms: -30 + 30 = 0 4k = 0 + 48k 4k = 48k Solving 4k = 48k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-48k' to each side of the equation. 4k + -48k = 48k + -48k Combine like terms: 4k + -48k = -44k -44k = 48k + -48k Combine like terms: 48k + -48k = 0 -44k = 0 Divide each side by '-44'. k = 0 Simplifying k = 0
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