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Simplifying 2(7k + -4) + -5 = -26 + k Reorder the terms: 2(-4 + 7k) + -5 = -26 + k (-4 * 2 + 7k * 2) + -5 = -26 + k (-8 + 14k) + -5 = -26 + k Reorder the terms: -8 + -5 + 14k = -26 + k Combine like terms: -8 + -5 = -13 -13 + 14k = -26 + k Solving -13 + 14k = -26 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -13 + 14k + -1k = -26 + k + -1k Combine like terms: 14k + -1k = 13k -13 + 13k = -26 + k + -1k Combine like terms: k + -1k = 0 -13 + 13k = -26 + 0 -13 + 13k = -26 Add '13' to each side of the equation. -13 + 13 + 13k = -26 + 13 Combine like terms: -13 + 13 = 0 0 + 13k = -26 + 13 13k = -26 + 13 Combine like terms: -26 + 13 = -13 13k = -13 Divide each side by '13'. k = -1 Simplifying k = -1
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