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Simplifying 93 = -6k + -7(k + -4) Reorder the terms: 93 = -6k + -7(-4 + k) 93 = -6k + (-4 * -7 + k * -7) 93 = -6k + (28 + -7k) Reorder the terms: 93 = 28 + -6k + -7k Combine like terms: -6k + -7k = -13k 93 = 28 + -13k Solving 93 = 28 + -13k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '13k' to each side of the equation. 93 + 13k = 28 + -13k + 13k Combine like terms: -13k + 13k = 0 93 + 13k = 28 + 0 93 + 13k = 28 Add '-93' to each side of the equation. 93 + -93 + 13k = 28 + -93 Combine like terms: 93 + -93 = 0 0 + 13k = 28 + -93 13k = 28 + -93 Combine like terms: 28 + -93 = -65 13k = -65 Divide each side by '13'. k = -5 Simplifying k = -5
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