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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 = -14 -14 + -17k + 3k = 0 Combine like terms: -17k + 3k = -14k -14 + -14k = 0 Solving -14 + -14k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -14k = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -14k = 0 + 14 -14k = 0 + 14 Combine like terms: 0 + 14 = 14 -14k = 14 Divide each side by '-14'. k = -1 Simplifying k = -1
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