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Simplifying 45 = 5(8k + -7) Reorder the terms: 45 = 5(-7 + 8k) 45 = (-7 * 5 + 8k * 5) 45 = (-35 + 40k) Solving 45 = -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. 45 + -40k = -35 + 40k + -40k Combine like terms: 40k + -40k = 0 45 + -40k = -35 + 0 45 + -40k = -35 Add '-45' to each side of the equation. 45 + -45 + -40k = -35 + -45 Combine like terms: 45 + -45 = 0 0 + -40k = -35 + -45 -40k = -35 + -45 Combine like terms: -35 + -45 = -80 -40k = -80 Divide each side by '-40'. k = 2 Simplifying k = 2
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