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Simplifying -2k + -31 = -7(k + 3) Reorder the terms: -31 + -2k = -7(k + 3) Reorder the terms: -31 + -2k = -7(3 + k) -31 + -2k = (3 * -7 + k * -7) -31 + -2k = (-21 + -7k) Solving -31 + -2k = -21 + -7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '7k' to each side of the equation. -31 + -2k + 7k = -21 + -7k + 7k Combine like terms: -2k + 7k = 5k -31 + 5k = -21 + -7k + 7k Combine like terms: -7k + 7k = 0 -31 + 5k = -21 + 0 -31 + 5k = -21 Add '31' to each side of the equation. -31 + 31 + 5k = -21 + 31 Combine like terms: -31 + 31 = 0 0 + 5k = -21 + 31 5k = -21 + 31 Combine like terms: -21 + 31 = 10 5k = 10 Divide each side by '5'. k = 2 Simplifying k = 2
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