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Simplifying 20 = 7k + -1(k + -4)(-1) Reorder the terms: 20 = 7k + -1(-4 + k)(-1) Reorder the terms for easier multiplication: 20 = 7k + -1 * -1(-4 + k) Multiply -1 * -1 20 = 7k + 1(-4 + k) 20 = 7k + (-4 * 1 + k * 1) 20 = 7k + (-4 + 1k) Reorder the terms: 20 = -4 + 7k + 1k Combine like terms: 7k + 1k = 8k 20 = -4 + 8k Solving 20 = -4 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 20 + -8k = -4 + 8k + -8k Combine like terms: 8k + -8k = 0 20 + -8k = -4 + 0 20 + -8k = -4 Add '-20' to each side of the equation. 20 + -20 + -8k = -4 + -20 Combine like terms: 20 + -20 = 0 0 + -8k = -4 + -20 -8k = -4 + -20 Combine like terms: -4 + -20 = -24 -8k = -24 Divide each side by '-8'. k = 3 Simplifying k = 3
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