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Simplifying -8 = 3(k + -7) Reorder the terms: -8 = 3(-7 + k) -8 = (-7 * 3 + k * 3) -8 = (-21 + 3k) Solving -8 = -21 + 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. -8 + -3k = -21 + 3k + -3k Combine like terms: 3k + -3k = 0 -8 + -3k = -21 + 0 -8 + -3k = -21 Add '8' to each side of the equation. -8 + 8 + -3k = -21 + 8 Combine like terms: -8 + 8 = 0 0 + -3k = -21 + 8 -3k = -21 + 8 Combine like terms: -21 + 8 = -13 -3k = -13 Divide each side by '-3'. k = 4.333333333 Simplifying k = 4.333333333
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