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Simplifying 4(7k + -3) = -12 + 3k Reorder the terms: 4(-3 + 7k) = -12 + 3k (-3 * 4 + 7k * 4) = -12 + 3k (-12 + 28k) = -12 + 3k Add '12' to each side of the equation. -12 + 12 + 28k = -12 + 12 + 3k Combine like terms: -12 + 12 = 0 0 + 28k = -12 + 12 + 3k 28k = -12 + 12 + 3k Combine like terms: -12 + 12 = 0 28k = 0 + 3k 28k = 3k Solving 28k = 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. 28k + -3k = 3k + -3k Combine like terms: 28k + -3k = 25k 25k = 3k + -3k Combine like terms: 3k + -3k = 0 25k = 0 Divide each side by '25'. k = 0 Simplifying k = 0
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