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Simplifying 5k + -10k + 2 = 1(10k + 20) Reorder the terms: 2 + 5k + -10k = 1(10k + 20) Combine like terms: 5k + -10k = -5k 2 + -5k = 1(10k + 20) Reorder the terms: 2 + -5k = 1(20 + 10k) 2 + -5k = (20 * 1 + 10k * 1) 2 + -5k = (20 + 10k) Solving 2 + -5k = 20 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. 2 + -5k + -10k = 20 + 10k + -10k Combine like terms: -5k + -10k = -15k 2 + -15k = 20 + 10k + -10k Combine like terms: 10k + -10k = 0 2 + -15k = 20 + 0 2 + -15k = 20 Add '-2' to each side of the equation. 2 + -2 + -15k = 20 + -2 Combine like terms: 2 + -2 = 0 0 + -15k = 20 + -2 -15k = 20 + -2 Combine like terms: 20 + -2 = 18 -15k = 18 Divide each side by '-15'. k = -1.2 Simplifying k = -1.2
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