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Simplifying -152 = 8(5k + 1) Reorder the terms: -152 = 8(1 + 5k) -152 = (1 * 8 + 5k * 8) -152 = (8 + 40k) Solving -152 = 8 + 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. -152 + -40k = 8 + 40k + -40k Combine like terms: 40k + -40k = 0 -152 + -40k = 8 + 0 -152 + -40k = 8 Add '152' to each side of the equation. -152 + 152 + -40k = 8 + 152 Combine like terms: -152 + 152 = 0 0 + -40k = 8 + 152 -40k = 8 + 152 Combine like terms: 8 + 152 = 160 -40k = 160 Divide each side by '-40'. k = -4 Simplifying k = -4
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