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Simplifying -7(k + -7) + -1(-5k + -2) = -3k Reorder the terms: -7(-7 + k) + -1(-5k + -2) = -3k (-7 * -7 + k * -7) + -1(-5k + -2) = -3k (49 + -7k) + -1(-5k + -2) = -3k Reorder the terms: 49 + -7k + -1(-2 + -5k) = -3k 49 + -7k + (-2 * -1 + -5k * -1) = -3k 49 + -7k + (2 + 5k) = -3k Reorder the terms: 49 + 2 + -7k + 5k = -3k Combine like terms: 49 + 2 = 51 51 + -7k + 5k = -3k Combine like terms: -7k + 5k = -2k 51 + -2k = -3k Solving 51 + -2k = -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. 51 + -2k + 3k = -3k + 3k Combine like terms: -2k + 3k = 1k 51 + 1k = -3k + 3k Combine like terms: -3k + 3k = 0 51 + 1k = 0 Add '-51' to each side of the equation. 51 + -51 + 1k = 0 + -51 Combine like terms: 51 + -51 = 0 0 + 1k = 0 + -51 1k = 0 + -51 Combine like terms: 0 + -51 = -51 1k = -51 Divide each side by '1'. k = -51 Simplifying k = -51
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