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Simplifying 3x + -1(k + 1) = 12 Reorder the terms: 3x + -1(1 + k) = 12 3x + (1 * -1 + k * -1) = 12 3x + (-1 + -1k) = 12 Reorder the terms: -1 + -1k + 3x = 12 Solving -1 + -1k + 3x = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1k + 1 + 3x = 12 + 1 Reorder the terms: -1 + 1 + -1k + 3x = 12 + 1 Combine like terms: -1 + 1 = 0 0 + -1k + 3x = 12 + 1 -1k + 3x = 12 + 1 Combine like terms: 12 + 1 = 13 -1k + 3x = 13 Add '-3x' to each side of the equation. -1k + 3x + -3x = 13 + -3x Combine like terms: 3x + -3x = 0 -1k + 0 = 13 + -3x -1k = 13 + -3x Divide each side by '-1'. k = -13 + 3x Simplifying k = -13 + 3x
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