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Simplifying 16 + -3k + 24 + 10 = 2(-4 + -13) Reorder the terms: 16 + 24 + 10 + -3k = 2(-4 + -13) Combine like terms: 16 + 24 = 40 40 + 10 + -3k = 2(-4 + -13) Combine like terms: 40 + 10 = 50 50 + -3k = 2(-4 + -13) Combine like terms: -4 + -13 = -17 50 + -3k = 2(-17) Multiply 2 * -17 50 + -3k = -34 Solving 50 + -3k = -34 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -3k = -34 + -50 Combine like terms: 50 + -50 = 0 0 + -3k = -34 + -50 -3k = -34 + -50 Combine like terms: -34 + -50 = -84 -3k = -84 Divide each side by '-3'. k = 28 Simplifying k = 28
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