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Simplifying 3 + 3k = 7(k + -3) Reorder the terms: 3 + 3k = 7(-3 + k) 3 + 3k = (-3 * 7 + k * 7) 3 + 3k = (-21 + 7k) Solving 3 + 3k = -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. 3 + 3k + -7k = -21 + 7k + -7k Combine like terms: 3k + -7k = -4k 3 + -4k = -21 + 7k + -7k Combine like terms: 7k + -7k = 0 3 + -4k = -21 + 0 3 + -4k = -21 Add '-3' to each side of the equation. 3 + -3 + -4k = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -4k = -21 + -3 -4k = -21 + -3 Combine like terms: -21 + -3 = -24 -4k = -24 Divide each side by '-4'. k = 6 Simplifying k = 6
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