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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 brackets 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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