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Simplifying 1.2(x + 2k) + 10 = k Reorder the terms: 1.2(2k + x) + 10 = k (2k * 1.2 + x * 1.2) + 10 = k (2.4k + 1.2x) + 10 = k Reorder the terms: 10 + 2.4k + 1.2x = k Solving 10 + 2.4k + 1.2x = k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 10 + 2.4k + -1k + 1.2x = k + -1k Combine like terms: 2.4k + -1k = 1.4k 10 + 1.4k + 1.2x = k + -1k Combine like terms: k + -1k = 0 10 + 1.4k + 1.2x = 0 Add '-10' to each side of the equation. 10 + 1.4k + -10 + 1.2x = 0 + -10 Reorder the terms: 10 + -10 + 1.4k + 1.2x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 1.4k + 1.2x = 0 + -10 1.4k + 1.2x = 0 + -10 Combine like terms: 0 + -10 = -10 1.4k + 1.2x = -10 Add '-1.2x' to each side of the equation. 1.4k + 1.2x + -1.2x = -10 + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 1.4k + 0.0 = -10 + -1.2x 1.4k = -10 + -1.2x Divide each side by '1.4'. k = -7.142857143 + -0.8571428571x Simplifying k = -7.142857143 + -0.8571428571x
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