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Simplifying -1(3k + -10) + 2 = 48 Reorder the terms: -1(-10 + 3k) + 2 = 48 (-10 * -1 + 3k * -1) + 2 = 48 (10 + -3k) + 2 = 48 Reorder the terms: 10 + 2 + -3k = 48 Combine like terms: 10 + 2 = 12 12 + -3k = 48 Solving 12 + -3k = 48 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -3k = 48 + -12 Combine like terms: 12 + -12 = 0 0 + -3k = 48 + -12 -3k = 48 + -12 Combine like terms: 48 + -12 = 36 -3k = 36 Divide each side by '-3'. k = -12 Simplifying k = -12
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