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Simplifying 165 = 5(8k + 7) Reorder the terms: 165 = 5(7 + 8k) 165 = (7 * 5 + 8k * 5) 165 = (35 + 40k) Solving 165 = 35 + 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. 165 + -40k = 35 + 40k + -40k Combine like terms: 40k + -40k = 0 165 + -40k = 35 + 0 165 + -40k = 35 Add '-165' to each side of the equation. 165 + -165 + -40k = 35 + -165 Combine like terms: 165 + -165 = 0 0 + -40k = 35 + -165 -40k = 35 + -165 Combine like terms: 35 + -165 = -130 -40k = -130 Divide each side by '-40'. k = 3.25 Simplifying k = 3.25
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