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Simplifying 7(4k + 6) = 4(6k + -1) Reorder the terms: 7(6 + 4k) = 4(6k + -1) (6 * 7 + 4k * 7) = 4(6k + -1) (42 + 28k) = 4(6k + -1) Reorder the terms: 42 + 28k = 4(-1 + 6k) 42 + 28k = (-1 * 4 + 6k * 4) 42 + 28k = (-4 + 24k) Solving 42 + 28k = -4 + 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. 42 + 28k + -24k = -4 + 24k + -24k Combine like terms: 28k + -24k = 4k 42 + 4k = -4 + 24k + -24k Combine like terms: 24k + -24k = 0 42 + 4k = -4 + 0 42 + 4k = -4 Add '-42' to each side of the equation. 42 + -42 + 4k = -4 + -42 Combine like terms: 42 + -42 = 0 0 + 4k = -4 + -42 4k = -4 + -42 Combine like terms: -4 + -42 = -46 4k = -46 Divide each side by '4'. k = -11.5 Simplifying k = -11.5
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