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Simplifying -2k + 10 = 3x + 45 Reorder the terms: 10 + -2k = 3x + 45 Reorder the terms: 10 + -2k = 45 + 3x Solving 10 + -2k = 45 + 3x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -2k = 45 + -10 + 3x Combine like terms: 10 + -10 = 0 0 + -2k = 45 + -10 + 3x -2k = 45 + -10 + 3x Combine like terms: 45 + -10 = 35 -2k = 35 + 3x Divide each side by '-2'. k = -17.5 + -1.5x Simplifying k = -17.5 + -1.5x
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