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Simplifying 3k + -5k + -12 = 7k + -88 + -5 Reorder the terms: -12 + 3k + -5k = 7k + -88 + -5 Combine like terms: 3k + -5k = -2k -12 + -2k = 7k + -88 + -5 Reorder the terms: -12 + -2k = -88 + -5 + 7k Combine like terms: -88 + -5 = -93 -12 + -2k = -93 + 7k Solving -12 + -2k = -93 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -12 + -2k + -7k = -93 + 7k + -7k Combine like terms: -2k + -7k = -9k -12 + -9k = -93 + 7k + -7k Combine like terms: 7k + -7k = 0 -12 + -9k = -93 + 0 -12 + -9k = -93 Add '12' to each side of the equation. -12 + 12 + -9k = -93 + 12 Combine like terms: -12 + 12 = 0 0 + -9k = -93 + 12 -9k = -93 + 12 Combine like terms: -93 + 12 = -81 -9k = -81 Divide each side by '-9'. k = 9 Simplifying k = 9
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