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Simplifying -31 = -5 + 3(k + -7) Reorder the terms: -31 = -5 + 3(-7 + k) -31 = -5 + (-7 * 3 + k * 3) -31 = -5 + (-21 + 3k) Combine like terms: -5 + -21 = -26 -31 = -26 + 3k Solving -31 = -26 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -31 + -3k = -26 + 3k + -3k Combine like terms: 3k + -3k = 0 -31 + -3k = -26 + 0 -31 + -3k = -26 Add '31' to each side of the equation. -31 + 31 + -3k = -26 + 31 Combine like terms: -31 + 31 = 0 0 + -3k = -26 + 31 -3k = -26 + 31 Combine like terms: -26 + 31 = 5 -3k = 5 Divide each side by '-3'. k = -1.666666667 Simplifying k = -1.666666667
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