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Simplifying -37 + -8k = -5(2 + 7k) -37 + -8k = (2 * -5 + 7k * -5) -37 + -8k = (-10 + -35k) Solving -37 + -8k = -10 + -35k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35k' to each side of the equation. -37 + -8k + 35k = -10 + -35k + 35k Combine like terms: -8k + 35k = 27k -37 + 27k = -10 + -35k + 35k Combine like terms: -35k + 35k = 0 -37 + 27k = -10 + 0 -37 + 27k = -10 Add '37' to each side of the equation. -37 + 37 + 27k = -10 + 37 Combine like terms: -37 + 37 = 0 0 + 27k = -10 + 37 27k = -10 + 37 Combine like terms: -10 + 37 = 27 27k = 27 Divide each side by '27'. k = 1 Simplifying k = 1
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