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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 = -49 -5k = -49 Divide each side by '-5'. k = 9.8 Simplifying k = 9.8
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