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Simplifying 4 + 3(1 + -7k) = -6k + 22 4 + (1 * 3 + -7k * 3) = -6k + 22 4 + (3 + -21k) = -6k + 22 Combine like terms: 4 + 3 = 7 7 + -21k = -6k + 22 Reorder the terms: 7 + -21k = 22 + -6k Solving 7 + -21k = 22 + -6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '6k' to each side of the equation. 7 + -21k + 6k = 22 + -6k + 6k Combine like terms: -21k + 6k = -15k 7 + -15k = 22 + -6k + 6k Combine like terms: -6k + 6k = 0 7 + -15k = 22 + 0 7 + -15k = 22 Add '-7' to each side of the equation. 7 + -7 + -15k = 22 + -7 Combine like terms: 7 + -7 = 0 0 + -15k = 22 + -7 -15k = 22 + -7 Combine like terms: 22 + -7 = 15 -15k = 15 Divide each side by '-15'. k = -1 Simplifying k = -1
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