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Simplifying 3(2 + x) + -1k = 10 (2 * 3 + x * 3) + -1k = 10 (6 + 3x) + -1k = 10 Reorder the terms: 6 + -1k + 3x = 10 Solving 6 + -1k + 3x = 10 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -1k + -6 + 3x = 10 + -6 Reorder the terms: 6 + -6 + -1k + 3x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -1k + 3x = 10 + -6 -1k + 3x = 10 + -6 Combine like terms: 10 + -6 = 4 -1k + 3x = 4 Add '-3x' to each side of the equation. -1k + 3x + -3x = 4 + -3x Combine like terms: 3x + -3x = 0 -1k + 0 = 4 + -3x -1k = 4 + -3x Divide each side by '-1'. k = -4 + 3x Simplifying k = -4 + 3x
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