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Simplifying -2k + 19 = 3(x + 8) Reorder the terms: 19 + -2k = 3(x + 8) Reorder the terms: 19 + -2k = 3(8 + x) 19 + -2k = (8 * 3 + x * 3) 19 + -2k = (24 + 3x) Solving 19 + -2k = 24 + 3x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -2k = 24 + -19 + 3x Combine like terms: 19 + -19 = 0 0 + -2k = 24 + -19 + 3x -2k = 24 + -19 + 3x Combine like terms: 24 + -19 = 5 -2k = 5 + 3x Divide each side by '-2'. k = -2.5 + -1.5x Simplifying k = -2.5 + -1.5x
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