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Simplifying 7(k + -9) + -1(-7k + -5) = 13k Reorder the terms: 7(-9 + k) + -1(-7k + -5) = 13k (-9 * 7 + k * 7) + -1(-7k + -5) = 13k (-63 + 7k) + -1(-7k + -5) = 13k Reorder the terms: -63 + 7k + -1(-5 + -7k) = 13k -63 + 7k + (-5 * -1 + -7k * -1) = 13k -63 + 7k + (5 + 7k) = 13k Reorder the terms: -63 + 5 + 7k + 7k = 13k Combine like terms: -63 + 5 = -58 -58 + 7k + 7k = 13k Combine like terms: 7k + 7k = 14k -58 + 14k = 13k Solving -58 + 14k = 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. -58 + 14k + -13k = 13k + -13k Combine like terms: 14k + -13k = 1k -58 + 1k = 13k + -13k Combine like terms: 13k + -13k = 0 -58 + 1k = 0 Add '58' to each side of the equation. -58 + 58 + 1k = 0 + 58 Combine like terms: -58 + 58 = 0 0 + 1k = 0 + 58 1k = 0 + 58 Combine like terms: 0 + 58 = 58 1k = 58 Divide each side by '1'. k = 58 Simplifying k = 58
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