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Simplifying 5.4(3k + -12) + 3.2 = 0 Reorder the terms: 5.4(-12 + 3k) + 3.2 = 0 (-12 * 5.4 + 3k * 5.4) + 3.2 = 0 (-64.8 + 16.2k) + 3.2 = 0 Reorder the terms: -64.8 + 3.2 + 16.2k = 0 Combine like terms: -64.8 + 3.2 = -61.6 -61.6 + 16.2k = 0 Solving -61.6 + 16.2k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '61.6' to each side of the equation. -61.6 + 61.6 + 16.2k = 0 + 61.6 Combine like terms: -61.6 + 61.6 = 0.0 0.0 + 16.2k = 0 + 61.6 16.2k = 0 + 61.6 Combine like terms: 0 + 61.6 = 61.6 16.2k = 61.6 Divide each side by '16.2'. k = 3.802469136 Simplifying k = 3.802469136
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