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Simplifying -4(k + 2) = 3(k + -4) Reorder the terms: -4(2 + k) = 3(k + -4) (2 * -4 + k * -4) = 3(k + -4) (-8 + -4k) = 3(k + -4) Reorder the terms: -8 + -4k = 3(-4 + k) -8 + -4k = (-4 * 3 + k * 3) -8 + -4k = (-12 + 3k) Solving -8 + -4k = -12 + 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. -8 + -4k + -3k = -12 + 3k + -3k Combine like terms: -4k + -3k = -7k -8 + -7k = -12 + 3k + -3k Combine like terms: 3k + -3k = 0 -8 + -7k = -12 + 0 -8 + -7k = -12 Add '8' to each side of the equation. -8 + 8 + -7k = -12 + 8 Combine like terms: -8 + 8 = 0 0 + -7k = -12 + 8 -7k = -12 + 8 Combine like terms: -12 + 8 = -4 -7k = -4 Divide each side by '-7'. k = 0.5714285714 Simplifying k = 0.5714285714
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