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Simplifying 4k + 6(4k + 7) = 18 + 4k Reorder the terms: 4k + 6(7 + 4k) = 18 + 4k 4k + (7 * 6 + 4k * 6) = 18 + 4k 4k + (42 + 24k) = 18 + 4k Reorder the terms: 42 + 4k + 24k = 18 + 4k Combine like terms: 4k + 24k = 28k 42 + 28k = 18 + 4k Solving 42 + 28k = 18 + 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. 42 + 28k + -4k = 18 + 4k + -4k Combine like terms: 28k + -4k = 24k 42 + 24k = 18 + 4k + -4k Combine like terms: 4k + -4k = 0 42 + 24k = 18 + 0 42 + 24k = 18 Add '-42' to each side of the equation. 42 + -42 + 24k = 18 + -42 Combine like terms: 42 + -42 = 0 0 + 24k = 18 + -42 24k = 18 + -42 Combine like terms: 18 + -42 = -24 24k = -24 Divide each side by '24'. k = -1 Simplifying k = -1
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