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Simplifying 5 + -1(1.2k + 6) = 7.1k + 34.4 Reorder the terms: 5 + -1(6 + 1.2k) = 7.1k + 34.4 5 + (6 * -1 + 1.2k * -1) = 7.1k + 34.4 5 + (-6 + -1.2k) = 7.1k + 34.4 Combine like terms: 5 + -6 = -1 -1 + -1.2k = 7.1k + 34.4 Reorder the terms: -1 + -1.2k = 34.4 + 7.1k Solving -1 + -1.2k = 34.4 + 7.1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7.1k' to each side of the equation. -1 + -1.2k + -7.1k = 34.4 + 7.1k + -7.1k Combine like terms: -1.2k + -7.1k = -8.3k -1 + -8.3k = 34.4 + 7.1k + -7.1k Combine like terms: 7.1k + -7.1k = 0.0 -1 + -8.3k = 34.4 + 0.0 -1 + -8.3k = 34.4 Add '1' to each side of the equation. -1 + 1 + -8.3k = 34.4 + 1 Combine like terms: -1 + 1 = 0 0 + -8.3k = 34.4 + 1 -8.3k = 34.4 + 1 Combine like terms: 34.4 + 1 = 35.4 -8.3k = 35.4 Divide each side by '-8.3'. k = -4.265060241 Simplifying k = -4.265060241
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