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Simplifying -37 + k = 6(k + -2) Reorder the terms: -37 + k = 6(-2 + k) -37 + k = (-2 * 6 + k * 6) -37 + k = (-12 + 6k) Solving -37 + k = -12 + 6k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-6k' to each side of the equation. -37 + k + -6k = -12 + 6k + -6k Combine like terms: k + -6k = -5k -37 + -5k = -12 + 6k + -6k Combine like terms: 6k + -6k = 0 -37 + -5k = -12 + 0 -37 + -5k = -12 Add '37' to each side of the equation. -37 + 37 + -5k = -12 + 37 Combine like terms: -37 + 37 = 0 0 + -5k = -12 + 37 -5k = -12 + 37 Combine like terms: -12 + 37 = 25 -5k = 25 Divide each side by '-5'. k = -5 Simplifying k = -5
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