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Simplifying 5 + -5(2 + 7k) = -32 + -8k 5 + (2 * -5 + 7k * -5) = -32 + -8k 5 + (-10 + -35k) = -32 + -8k Combine like terms: 5 + -10 = -5 -5 + -35k = -32 + -8k Solving -5 + -35k = -32 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. -5 + -35k + 8k = -32 + -8k + 8k Combine like terms: -35k + 8k = -27k -5 + -27k = -32 + -8k + 8k Combine like terms: -8k + 8k = 0 -5 + -27k = -32 + 0 -5 + -27k = -32 Add '5' to each side of the equation. -5 + 5 + -27k = -32 + 5 Combine like terms: -5 + 5 = 0 0 + -27k = -32 + 5 -27k = -32 + 5 Combine like terms: -32 + 5 = -27 -27k = -27 Divide each side by '-27'. k = 1 Simplifying k = 1
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