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Simplifying 37 = 7(-1k + 4) + -4(1 + -5k) Reorder the terms: 37 = 7(4 + -1k) + -4(1 + -5k) 37 = (4 * 7 + -1k * 7) + -4(1 + -5k) 37 = (28 + -7k) + -4(1 + -5k) 37 = 28 + -7k + (1 * -4 + -5k * -4) 37 = 28 + -7k + (-4 + 20k) Reorder the terms: 37 = 28 + -4 + -7k + 20k Combine like terms: 28 + -4 = 24 37 = 24 + -7k + 20k Combine like terms: -7k + 20k = 13k 37 = 24 + 13k Solving 37 = 24 + 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. 37 + -13k = 24 + 13k + -13k Combine like terms: 13k + -13k = 0 37 + -13k = 24 + 0 37 + -13k = 24 Add '-37' to each side of the equation. 37 + -37 + -13k = 24 + -37 Combine like terms: 37 + -37 = 0 0 + -13k = 24 + -37 -13k = 24 + -37 Combine like terms: 24 + -37 = -13 -13k = -13 Divide each side by '-13'. k = 1 Simplifying k = 1
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