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Simplifying 10k = 5(3k + -4) + 12 Reorder the terms: 10k = 5(-4 + 3k) + 12 10k = (-4 * 5 + 3k * 5) + 12 10k = (-20 + 15k) + 12 Reorder the terms: 10k = -20 + 12 + 15k Combine like terms: -20 + 12 = -8 10k = -8 + 15k Solving 10k = -8 + 15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15k' to each side of the equation. 10k + -15k = -8 + 15k + -15k Combine like terms: 10k + -15k = -5k -5k = -8 + 15k + -15k Combine like terms: 15k + -15k = 0 -5k = -8 + 0 -5k = -8 Divide each side by '-5'. k = 1.6 Simplifying k = 1.6
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