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Simplifying -64 = -1(-4 + -1k) + -2(7k + -5) -64 = (-4 * -1 + -1k * -1) + -2(7k + -5) -64 = (4 + 1k) + -2(7k + -5) Reorder the terms: -64 = 4 + 1k + -2(-5 + 7k) -64 = 4 + 1k + (-5 * -2 + 7k * -2) -64 = 4 + 1k + (10 + -14k) Reorder the terms: -64 = 4 + 10 + 1k + -14k Combine like terms: 4 + 10 = 14 -64 = 14 + 1k + -14k Combine like terms: 1k + -14k = -13k -64 = 14 + -13k Solving -64 = 14 + -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. -64 + 13k = 14 + -13k + 13k Combine like terms: -13k + 13k = 0 -64 + 13k = 14 + 0 -64 + 13k = 14 Add '64' to each side of the equation. -64 + 64 + 13k = 14 + 64 Combine like terms: -64 + 64 = 0 0 + 13k = 14 + 64 13k = 14 + 64 Combine like terms: 14 + 64 = 78 13k = 78 Divide each side by '13'. k = 6 Simplifying k = 6
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