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Simplifying 51 = 3(k + -7) Reorder the terms: 51 = 3(-7 + k) 51 = (-7 * 3 + k * 3) 51 = (-21 + 3k) Solving 51 = -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. 51 + -3k = -21 + 3k + -3k Combine like terms: 3k + -3k = 0 51 + -3k = -21 + 0 51 + -3k = -21 Add '-51' to each side of the equation. 51 + -51 + -3k = -21 + -51 Combine like terms: 51 + -51 = 0 0 + -3k = -21 + -51 -3k = -21 + -51 Combine like terms: -21 + -51 = -72 -3k = -72 Divide each side by '-3'. k = 24 Simplifying k = 24
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