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Simplifying -176 = 8(5k + 8) Reorder the terms: -176 = 8(8 + 5k) -176 = (8 * 8 + 5k * 8) -176 = (64 + 40k) Solving -176 = 64 + 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. -176 + -40k = 64 + 40k + -40k Combine like terms: 40k + -40k = 0 -176 + -40k = 64 + 0 -176 + -40k = 64 Add '176' to each side of the equation. -176 + 176 + -40k = 64 + 176 Combine like terms: -176 + 176 = 0 0 + -40k = 64 + 176 -40k = 64 + 176 Combine like terms: 64 + 176 = 240 -40k = 240 Divide each side by '-40'. k = -6 Simplifying k = -6
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