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Simplifying -30 + 10k + -10 = -10k + 120 Reorder the terms: -30 + -10 + 10k = -10k + 120 Combine like terms: -30 + -10 = -40 -40 + 10k = -10k + 120 Reorder the terms: -40 + 10k = 120 + -10k Solving -40 + 10k = 120 + -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. -40 + 10k + 10k = 120 + -10k + 10k Combine like terms: 10k + 10k = 20k -40 + 20k = 120 + -10k + 10k Combine like terms: -10k + 10k = 0 -40 + 20k = 120 + 0 -40 + 20k = 120 Add '40' to each side of the equation. -40 + 40 + 20k = 120 + 40 Combine like terms: -40 + 40 = 0 0 + 20k = 120 + 40 20k = 120 + 40 Combine like terms: 120 + 40 = 160 20k = 160 Divide each side by '20'. k = 8 Simplifying k = 8
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