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Simplifying 12k + -2(k + 5) = 48 Reorder the terms: 12k + -2(5 + k) = 48 12k + (5 * -2 + k * -2) = 48 12k + (-10 + -2k) = 48 Reorder the terms: -10 + 12k + -2k = 48 Combine like terms: 12k + -2k = 10k -10 + 10k = 48 Solving -10 + 10k = 48 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 10k = 48 + 10 Combine like terms: -10 + 10 = 0 0 + 10k = 48 + 10 10k = 48 + 10 Combine like terms: 48 + 10 = 58 10k = 58 Divide each side by '10'. k = 5.8 Simplifying k = 5.8
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