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Simplifying 5(5k + 3) + -4k + 2k + -7 = 0 Reorder the terms: 5(3 + 5k) + -4k + 2k + -7 = 0 (3 * 5 + 5k * 5) + -4k + 2k + -7 = 0 (15 + 25k) + -4k + 2k + -7 = 0 Reorder the terms: 15 + -7 + 25k + -4k + 2k = 0 Combine like terms: 15 + -7 = 8 8 + 25k + -4k + 2k = 0 Combine like terms: 25k + -4k = 21k 8 + 21k + 2k = 0 Combine like terms: 21k + 2k = 23k 8 + 23k = 0 Solving 8 + 23k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 23k = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 23k = 0 + -8 23k = 0 + -8 Combine like terms: 0 + -8 = -8 23k = -8 Divide each side by '23'. k = -0.347826087 Simplifying k = -0.347826087
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