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Simplifying 84 = 3(k + -47) Reorder the terms: 84 = 3(-47 + k) 84 = (-47 * 3 + k * 3) 84 = (-141 + 3k) Solving 84 = -141 + 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. 84 + -3k = -141 + 3k + -3k Combine like terms: 3k + -3k = 0 84 + -3k = -141 + 0 84 + -3k = -141 Add '-84' to each side of the equation. 84 + -84 + -3k = -141 + -84 Combine like terms: 84 + -84 = 0 0 + -3k = -141 + -84 -3k = -141 + -84 Combine like terms: -141 + -84 = -225 -3k = -225 Divide each side by '-3'. k = 75 Simplifying k = 75
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