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Simplifying -6(4k + -7) + -4k = -5 + -3(7k + -4) Reorder the terms: -6(-7 + 4k) + -4k = -5 + -3(7k + -4) (-7 * -6 + 4k * -6) + -4k = -5 + -3(7k + -4) (42 + -24k) + -4k = -5 + -3(7k + -4) Combine like terms: -24k + -4k = -28k 42 + -28k = -5 + -3(7k + -4) Reorder the terms: 42 + -28k = -5 + -3(-4 + 7k) 42 + -28k = -5 + (-4 * -3 + 7k * -3) 42 + -28k = -5 + (12 + -21k) Combine like terms: -5 + 12 = 7 42 + -28k = 7 + -21k Solving 42 + -28k = 7 + -21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21k' to each side of the equation. 42 + -28k + 21k = 7 + -21k + 21k Combine like terms: -28k + 21k = -7k 42 + -7k = 7 + -21k + 21k Combine like terms: -21k + 21k = 0 42 + -7k = 7 + 0 42 + -7k = 7 Add '-42' to each side of the equation. 42 + -42 + -7k = 7 + -42 Combine like terms: 42 + -42 = 0 0 + -7k = 7 + -42 -7k = 7 + -42 Combine like terms: 7 + -42 = -35 -7k = -35 Divide each side by '-7'. k = 5 Simplifying k = 5
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