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Simplifying -10(4k + 10) + 3(-1 + 4k) = 0 Reorder the terms: -10(10 + 4k) + 3(-1 + 4k) = 0 (10 * -10 + 4k * -10) + 3(-1 + 4k) = 0 (-100 + -40k) + 3(-1 + 4k) = 0 -100 + -40k + (-1 * 3 + 4k * 3) = 0 -100 + -40k + (-3 + 12k) = 0 Reorder the terms: -100 + -3 + -40k + 12k = 0 Combine like terms: -100 + -3 = -103 -103 + -40k + 12k = 0 Combine like terms: -40k + 12k = -28k -103 + -28k = 0 Solving -103 + -28k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '103' to each side of the equation. -103 + 103 + -28k = 0 + 103 Combine like terms: -103 + 103 = 0 0 + -28k = 0 + 103 -28k = 0 + 103 Combine like terms: 0 + 103 = 103 -28k = 103 Divide each side by '-28'. k = -3.678571429 Simplifying k = -3.678571429
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