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Simplifying 3.5(-3.4k + -1.4) = -46.376 Reorder the terms: 3.5(-1.4 + -3.4k) = -46.376 (-1.4 * 3.5 + -3.4k * 3.5) = -46.376 (-4.9 + -11.9k) = -46.376 Solving -4.9 + -11.9k = -46.376 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4.9' to each side of the equation. -4.9 + 4.9 + -11.9k = -46.376 + 4.9 Combine like terms: -4.9 + 4.9 = 0.0 0.0 + -11.9k = -46.376 + 4.9 -11.9k = -46.376 + 4.9 Combine like terms: -46.376 + 4.9 = -41.476 -11.9k = -41.476 Divide each side by '-11.9'. k = 3.485378151 Simplifying k = 3.485378151
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