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