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Simplifying 12k + -1(k + 7) = 48 Reorder the terms: 12k + -1(7 + k) = 48 12k + (7 * -1 + k * -1) = 48 12k + (-7 + -1k) = 48 Reorder the terms: -7 + 12k + -1k = 48 Combine like terms: 12k + -1k = 11k -7 + 11k = 48 Solving -7 + 11k = 48 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 11k = 48 + 7 Combine like terms: -7 + 7 = 0 0 + 11k = 48 + 7 11k = 48 + 7 Combine like terms: 48 + 7 = 55 11k = 55 Divide each side by '11'. k = 5 Simplifying k = 5
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