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Simplifying 5(1.2 + 6) = 7.1k + 34.4 Combine like terms: 1.2 + 6 = 7.2 5(7.2) = 7.1k + 34.4 Multiply 5 * 7.2 36 = 7.1k + 34.4 Reorder the terms: 36 = 34.4 + 7.1k Solving 36 = 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. 36 + -7.1k = 34.4 + 7.1k + -7.1k Combine like terms: 7.1k + -7.1k = 0.0 36 + -7.1k = 34.4 + 0.0 36 + -7.1k = 34.4 Add '-36' to each side of the equation. 36 + -36 + -7.1k = 34.4 + -36 Combine like terms: 36 + -36 = 0 0 + -7.1k = 34.4 + -36 -7.1k = 34.4 + -36 Combine like terms: 34.4 + -36 = -1.6 -7.1k = -1.6 Divide each side by '-7.1'. k = 0.2253521127 Simplifying k = 0.2253521127
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