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Simplifying 3k + 8 = 7(k + -2) + 4 Reorder the terms: 8 + 3k = 7(k + -2) + 4 Reorder the terms: 8 + 3k = 7(-2 + k) + 4 8 + 3k = (-2 * 7 + k * 7) + 4 8 + 3k = (-14 + 7k) + 4 Reorder the terms: 8 + 3k = -14 + 4 + 7k Combine like terms: -14 + 4 = -10 8 + 3k = -10 + 7k Solving 8 + 3k = -10 + 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. 8 + 3k + -7k = -10 + 7k + -7k Combine like terms: 3k + -7k = -4k 8 + -4k = -10 + 7k + -7k Combine like terms: 7k + -7k = 0 8 + -4k = -10 + 0 8 + -4k = -10 Add '-8' to each side of the equation. 8 + -8 + -4k = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -4k = -10 + -8 -4k = -10 + -8 Combine like terms: -10 + -8 = -18 -4k = -18 Divide each side by '-4'. k = 4.5 Simplifying k = 4.5
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