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Simplifying 4(6k + -4) = 7k + -1(2k + -3) Reorder the terms: 4(-4 + 6k) = 7k + -1(2k + -3) (-4 * 4 + 6k * 4) = 7k + -1(2k + -3) (-16 + 24k) = 7k + -1(2k + -3) Reorder the terms: -16 + 24k = 7k + -1(-3 + 2k) -16 + 24k = 7k + (-3 * -1 + 2k * -1) -16 + 24k = 7k + (3 + -2k) Reorder the terms: -16 + 24k = 3 + 7k + -2k Combine like terms: 7k + -2k = 5k -16 + 24k = 3 + 5k Solving -16 + 24k = 3 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -16 + 24k + -5k = 3 + 5k + -5k Combine like terms: 24k + -5k = 19k -16 + 19k = 3 + 5k + -5k Combine like terms: 5k + -5k = 0 -16 + 19k = 3 + 0 -16 + 19k = 3 Add '16' to each side of the equation. -16 + 16 + 19k = 3 + 16 Combine like terms: -16 + 16 = 0 0 + 19k = 3 + 16 19k = 3 + 16 Combine like terms: 3 + 16 = 19 19k = 19 Divide each side by '19'. k = 1 Simplifying k = 1
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