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Simplifying 4(k + -2) = 3k + 7k + -18 Reorder the terms: 4(-2 + k) = 3k + 7k + -18 (-2 * 4 + k * 4) = 3k + 7k + -18 (-8 + 4k) = 3k + 7k + -18 Reorder the terms: -8 + 4k = -18 + 3k + 7k Combine like terms: 3k + 7k = 10k -8 + 4k = -18 + 10k Solving -8 + 4k = -18 + 10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10k' to each side of the equation. -8 + 4k + -10k = -18 + 10k + -10k Combine like terms: 4k + -10k = -6k -8 + -6k = -18 + 10k + -10k Combine like terms: 10k + -10k = 0 -8 + -6k = -18 + 0 -8 + -6k = -18 Add '8' to each side of the equation. -8 + 8 + -6k = -18 + 8 Combine like terms: -8 + 8 = 0 0 + -6k = -18 + 8 -6k = -18 + 8 Combine like terms: -18 + 8 = -10 -6k = -10 Divide each side by '-6'. k = 1.666666667 Simplifying k = 1.666666667
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