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Simplifying 3(x + -2k) + 5 = 7k Reorder the terms: 3(-2k + x) + 5 = 7k (-2k * 3 + x * 3) + 5 = 7k (-6k + 3x) + 5 = 7k Reorder the terms: 5 + -6k + 3x = 7k Solving 5 + -6k + 3x = 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. 5 + -6k + -7k + 3x = 7k + -7k Combine like terms: -6k + -7k = -13k 5 + -13k + 3x = 7k + -7k Combine like terms: 7k + -7k = 0 5 + -13k + 3x = 0 Add '-5' to each side of the equation. 5 + -13k + -5 + 3x = 0 + -5 Reorder the terms: 5 + -5 + -13k + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -13k + 3x = 0 + -5 -13k + 3x = 0 + -5 Combine like terms: 0 + -5 = -5 -13k + 3x = -5 Add '-3x' to each side of the equation. -13k + 3x + -3x = -5 + -3x Combine like terms: 3x + -3x = 0 -13k + 0 = -5 + -3x -13k = -5 + -3x Divide each side by '-13'. k = 0.3846153846 + 0.2307692308x Simplifying k = 0.3846153846 + 0.2307692308x
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