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Simplifying 3(4k + -2) = 16k + -23 Reorder the terms: 3(-2 + 4k) = 16k + -23 (-2 * 3 + 4k * 3) = 16k + -23 (-6 + 12k) = 16k + -23 Reorder the terms: -6 + 12k = -23 + 16k Solving -6 + 12k = -23 + 16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-16k' to each side of the equation. -6 + 12k + -16k = -23 + 16k + -16k Combine like terms: 12k + -16k = -4k -6 + -4k = -23 + 16k + -16k Combine like terms: 16k + -16k = 0 -6 + -4k = -23 + 0 -6 + -4k = -23 Add '6' to each side of the equation. -6 + 6 + -4k = -23 + 6 Combine like terms: -6 + 6 = 0 0 + -4k = -23 + 6 -4k = -23 + 6 Combine like terms: -23 + 6 = -17 -4k = -17 Divide each side by '-4'. k = 4.25 Simplifying k = 4.25
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