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Simplifying 4(k + -2) = (k + -9) Reorder the terms: 4(-2 + k) = (k + -9) (-2 * 4 + k * 4) = (k + -9) (-8 + 4k) = (k + -9) Reorder the terms: -8 + 4k = (-9 + k) Remove parenthesis around (-9 + k) -8 + 4k = -9 + k Solving -8 + 4k = -9 + k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. -8 + 4k + -1k = -9 + k + -1k Combine like terms: 4k + -1k = 3k -8 + 3k = -9 + k + -1k Combine like terms: k + -1k = 0 -8 + 3k = -9 + 0 -8 + 3k = -9 Add '8' to each side of the equation. -8 + 8 + 3k = -9 + 8 Combine like terms: -8 + 8 = 0 0 + 3k = -9 + 8 3k = -9 + 8 Combine like terms: -9 + 8 = -1 3k = -1 Divide each side by '3'. k = -0.3333333333 Simplifying k = -0.3333333333
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