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Simplifying 3(8k + -3) = 6(7 + -4k) Reorder the terms: 3(-3 + 8k) = 6(7 + -4k) (-3 * 3 + 8k * 3) = 6(7 + -4k) (-9 + 24k) = 6(7 + -4k) -9 + 24k = (7 * 6 + -4k * 6) -9 + 24k = (42 + -24k) Solving -9 + 24k = 42 + -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. -9 + 24k + 24k = 42 + -24k + 24k Combine like terms: 24k + 24k = 48k -9 + 48k = 42 + -24k + 24k Combine like terms: -24k + 24k = 0 -9 + 48k = 42 + 0 -9 + 48k = 42 Add '9' to each side of the equation. -9 + 9 + 48k = 42 + 9 Combine like terms: -9 + 9 = 0 0 + 48k = 42 + 9 48k = 42 + 9 Combine like terms: 42 + 9 = 51 48k = 51 Divide each side by '48'. k = 1.0625 Simplifying k = 1.0625
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