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Simplifying 2(x + 3z) + 10k = 110 (x * 2 + 3z * 2) + 10k = 110 (2x + 6z) + 10k = 110 Reorder the terms: 10k + 2x + 6z = 110 Solving 10k + 2x + 6z = 110 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2x' to each side of the equation. 10k + 2x + -2x + 6z = 110 + -2x Combine like terms: 2x + -2x = 0 10k + 0 + 6z = 110 + -2x 10k + 6z = 110 + -2x Add '-6z' to each side of the equation. 10k + 6z + -6z = 110 + -2x + -6z Combine like terms: 6z + -6z = 0 10k + 0 = 110 + -2x + -6z 10k = 110 + -2x + -6z Divide each side by '10'. k = 11 + -0.2x + -0.6z Simplifying k = 11 + -0.2x + -0.6z
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