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Simplifying 5(1 + -7) = 6(2 + -7) * k Combine like terms: 1 + -7 = -6 5(-6) = 6(2 + -7) * k Multiply 5 * -6 -30 = 6(2 + -7) * k Combine like terms: 2 + -7 = -5 -30 = 6(-5) * k Multiply 6 * -5 -30 = -30k Solving -30 = -30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30k' to each side of the equation. -30 + 30k = -30k + 30k Combine like terms: -30k + 30k = 0 -30 + 30k = 0 Add '30' to each side of the equation. -30 + 30 + 30k = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 30k = 0 + 30 30k = 0 + 30 Combine like terms: 0 + 30 = 30 30k = 30 Divide each side by '30'. k = 1 Simplifying k = 1
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