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Simplifying -1(2k + -6) = 5(1 + 8k) + 5 Reorder the terms: -1(-6 + 2k) = 5(1 + 8k) + 5 (-6 * -1 + 2k * -1) = 5(1 + 8k) + 5 (6 + -2k) = 5(1 + 8k) + 5 6 + -2k = (1 * 5 + 8k * 5) + 5 6 + -2k = (5 + 40k) + 5 Reorder the terms: 6 + -2k = 5 + 5 + 40k Combine like terms: 5 + 5 = 10 6 + -2k = 10 + 40k Solving 6 + -2k = 10 + 40k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-40k' to each side of the equation. 6 + -2k + -40k = 10 + 40k + -40k Combine like terms: -2k + -40k = -42k 6 + -42k = 10 + 40k + -40k Combine like terms: 40k + -40k = 0 6 + -42k = 10 + 0 6 + -42k = 10 Add '-6' to each side of the equation. 6 + -6 + -42k = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -42k = 10 + -6 -42k = 10 + -6 Combine like terms: 10 + -6 = 4 -42k = 4 Divide each side by '-42'. k = -0.09523809524 Simplifying k = -0.09523809524
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