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Simplifying -50 = -2(k + -1) + -5k + -4(k + -6k) Reorder the terms: -50 = -2(-1 + k) + -5k + -4(k + -6k) -50 = (-1 * -2 + k * -2) + -5k + -4(k + -6k) -50 = (2 + -2k) + -5k + -4(k + -6k) Combine like terms: k + -6k = -5k -50 = 2 + -2k + -5k + -4(-5k) Remove parenthesis around (-5k) -50 = 2 + -2k + -5k + -4 * -5k Multiply -4 * -5 -50 = 2 + -2k + -5k + 20k Combine like terms: -2k + -5k = -7k -50 = 2 + -7k + 20k Combine like terms: -7k + 20k = 13k -50 = 2 + 13k Solving -50 = 2 + 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. -50 + -13k = 2 + 13k + -13k Combine like terms: 13k + -13k = 0 -50 + -13k = 2 + 0 -50 + -13k = 2 Add '50' to each side of the equation. -50 + 50 + -13k = 2 + 50 Combine like terms: -50 + 50 = 0 0 + -13k = 2 + 50 -13k = 2 + 50 Combine like terms: 2 + 50 = 52 -13k = 52 Divide each side by '-13'. k = -4 Simplifying k = -4
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