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Simplifying -12.4 = 4(k + -9) Reorder the terms: -12.4 = 4(-9 + k) -12.4 = (-9 * 4 + k * 4) -12.4 = (-36 + 4k) Solving -12.4 = -36 + 4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4k' to each side of the equation. -12.4 + -4k = -36 + 4k + -4k Combine like terms: 4k + -4k = 0 -12.4 + -4k = -36 + 0 -12.4 + -4k = -36 Add '12.4' to each side of the equation. -12.4 + 12.4 + -4k = -36 + 12.4 Combine like terms: -12.4 + 12.4 = 0.0 0.0 + -4k = -36 + 12.4 -4k = -36 + 12.4 Combine like terms: -36 + 12.4 = -23.6 -4k = -23.6 Divide each side by '-4'. k = 5.9 Simplifying k = 5.9
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