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Simplifying -8k + -7(k + 7) = -58 + -12k Reorder the terms: -8k + -7(7 + k) = -58 + -12k -8k + (7 * -7 + k * -7) = -58 + -12k -8k + (-49 + -7k) = -58 + -12k Reorder the terms: -49 + -8k + -7k = -58 + -12k Combine like terms: -8k + -7k = -15k -49 + -15k = -58 + -12k Solving -49 + -15k = -58 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -49 + -15k + 12k = -58 + -12k + 12k Combine like terms: -15k + 12k = -3k -49 + -3k = -58 + -12k + 12k Combine like terms: -12k + 12k = 0 -49 + -3k = -58 + 0 -49 + -3k = -58 Add '49' to each side of the equation. -49 + 49 + -3k = -58 + 49 Combine like terms: -49 + 49 = 0 0 + -3k = -58 + 49 -3k = -58 + 49 Combine like terms: -58 + 49 = -9 -3k = -9 Divide each side by '-3'. k = 3 Simplifying k = 3
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