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Simplifying -37 + 6k = 7(6k + 5) Reorder the terms: -37 + 6k = 7(5 + 6k) -37 + 6k = (5 * 7 + 6k * 7) -37 + 6k = (35 + 42k) Solving -37 + 6k = 35 + 42k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-42k' to each side of the equation. -37 + 6k + -42k = 35 + 42k + -42k Combine like terms: 6k + -42k = -36k -37 + -36k = 35 + 42k + -42k Combine like terms: 42k + -42k = 0 -37 + -36k = 35 + 0 -37 + -36k = 35 Add '37' to each side of the equation. -37 + 37 + -36k = 35 + 37 Combine like terms: -37 + 37 = 0 0 + -36k = 35 + 37 -36k = 35 + 37 Combine like terms: 35 + 37 = 72 -36k = 72 Divide each side by '-36'. k = -2 Simplifying k = -2
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