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Simplifying -37 + -5k = -2 + -2(4 + 7k) -37 + -5k = -2 + (4 * -2 + 7k * -2) -37 + -5k = -2 + (-8 + -14k) Combine like terms: -2 + -8 = -10 -37 + -5k = -10 + -14k Solving -37 + -5k = -10 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. -37 + -5k + 14k = -10 + -14k + 14k Combine like terms: -5k + 14k = 9k -37 + 9k = -10 + -14k + 14k Combine like terms: -14k + 14k = 0 -37 + 9k = -10 + 0 -37 + 9k = -10 Add '37' to each side of the equation. -37 + 37 + 9k = -10 + 37 Combine like terms: -37 + 37 = 0 0 + 9k = -10 + 37 9k = -10 + 37 Combine like terms: -10 + 37 = 27 9k = 27 Divide each side by '9'. k = 3 Simplifying k = 3
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