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Simplifying -5(-3.4k + -7) + (3k + 21) = 0 Reorder the terms: -5(-7 + -3.4k) + (3k + 21) = 0 (-7 * -5 + -3.4k * -5) + (3k + 21) = 0 (35 + 17k) + (3k + 21) = 0 Reorder the terms: 35 + 17k + (21 + 3k) = 0 Remove parenthesis around (21 + 3k) 35 + 17k + 21 + 3k = 0 Reorder the terms: 35 + 21 + 17k + 3k = 0 Combine like terms: 35 + 21 = 56 56 + 17k + 3k = 0 Combine like terms: 17k + 3k = 20k 56 + 20k = 0 Solving 56 + 20k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 20k = 0 + -56 Combine like terms: 56 + -56 = 0 0 + 20k = 0 + -56 20k = 0 + -56 Combine like terms: 0 + -56 = -56 20k = -56 Divide each side by '20'. k = -2.8 Simplifying k = -2.8
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