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Simplifying 48 = 4(k + 6) Reorder the terms: 48 = 4(6 + k) 48 = (6 * 4 + k * 4) 48 = (24 + 4k) Solving 48 = 24 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. 48 + -4k = 24 + 4k + -4k Combine like terms: 4k + -4k = 0 48 + -4k = 24 + 0 48 + -4k = 24 Add '-48' to each side of the equation. 48 + -48 + -4k = 24 + -48 Combine like terms: 48 + -48 = 0 0 + -4k = 24 + -48 -4k = 24 + -48 Combine like terms: 24 + -48 = -24 -4k = -24 Divide each side by '-4'. k = 6 Simplifying k = 6
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