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Simplifying -3k + -1(-7k + 6) = 7(k + -7) + -2 Reorder the terms: -3k + -1(6 + -7k) = 7(k + -7) + -2 -3k + (6 * -1 + -7k * -1) = 7(k + -7) + -2 -3k + (-6 + 7k) = 7(k + -7) + -2 Reorder the terms: -6 + -3k + 7k = 7(k + -7) + -2 Combine like terms: -3k + 7k = 4k -6 + 4k = 7(k + -7) + -2 Reorder the terms: -6 + 4k = 7(-7 + k) + -2 -6 + 4k = (-7 * 7 + k * 7) + -2 -6 + 4k = (-49 + 7k) + -2 Reorder the terms: -6 + 4k = -49 + -2 + 7k Combine like terms: -49 + -2 = -51 -6 + 4k = -51 + 7k Solving -6 + 4k = -51 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -6 + 4k + -7k = -51 + 7k + -7k Combine like terms: 4k + -7k = -3k -6 + -3k = -51 + 7k + -7k Combine like terms: 7k + -7k = 0 -6 + -3k = -51 + 0 -6 + -3k = -51 Add '6' to each side of the equation. -6 + 6 + -3k = -51 + 6 Combine like terms: -6 + 6 = 0 0 + -3k = -51 + 6 -3k = -51 + 6 Combine like terms: -51 + 6 = -45 -3k = -45 Divide each side by '-3'. k = 15 Simplifying k = 15
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