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Simplifying -5(3k + -1) + -7 = -8k + -37 Reorder the terms: -5(-1 + 3k) + -7 = -8k + -37 (-1 * -5 + 3k * -5) + -7 = -8k + -37 (5 + -15k) + -7 = -8k + -37 Reorder the terms: 5 + -7 + -15k = -8k + -37 Combine like terms: 5 + -7 = -2 -2 + -15k = -8k + -37 Reorder the terms: -2 + -15k = -37 + -8k Solving -2 + -15k = -37 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -2 + -15k + 8k = -37 + -8k + 8k Combine like terms: -15k + 8k = -7k -2 + -7k = -37 + -8k + 8k Combine like terms: -8k + 8k = 0 -2 + -7k = -37 + 0 -2 + -7k = -37 Add '2' to each side of the equation. -2 + 2 + -7k = -37 + 2 Combine like terms: -2 + 2 = 0 0 + -7k = -37 + 2 -7k = -37 + 2 Combine like terms: -37 + 2 = -35 -7k = -35 Divide each side by '-7'. k = 5 Simplifying k = 5
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