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Simplifying -19 + 8k = 6(4k + 5) Reorder the terms: -19 + 8k = 6(5 + 4k) -19 + 8k = (5 * 6 + 4k * 6) -19 + 8k = (30 + 24k) Solving -19 + 8k = 30 + 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. -19 + 8k + -24k = 30 + 24k + -24k Combine like terms: 8k + -24k = -16k -19 + -16k = 30 + 24k + -24k Combine like terms: 24k + -24k = 0 -19 + -16k = 30 + 0 -19 + -16k = 30 Add '19' to each side of the equation. -19 + 19 + -16k = 30 + 19 Combine like terms: -19 + 19 = 0 0 + -16k = 30 + 19 -16k = 30 + 19 Combine like terms: 30 + 19 = 49 -16k = 49 Divide each side by '-16'. k = -3.0625 Simplifying k = -3.0625
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