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Simplifying -1(8 + 5k) + -3 = -3(-7 + 7k) (8 * -1 + 5k * -1) + -3 = -3(-7 + 7k) (-8 + -5k) + -3 = -3(-7 + 7k) Reorder the terms: -8 + -3 + -5k = -3(-7 + 7k) Combine like terms: -8 + -3 = -11 -11 + -5k = -3(-7 + 7k) -11 + -5k = (-7 * -3 + 7k * -3) -11 + -5k = (21 + -21k) Solving -11 + -5k = 21 + -21k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '21k' to each side of the equation. -11 + -5k + 21k = 21 + -21k + 21k Combine like terms: -5k + 21k = 16k -11 + 16k = 21 + -21k + 21k Combine like terms: -21k + 21k = 0 -11 + 16k = 21 + 0 -11 + 16k = 21 Add '11' to each side of the equation. -11 + 11 + 16k = 21 + 11 Combine like terms: -11 + 11 = 0 0 + 16k = 21 + 11 16k = 21 + 11 Combine like terms: 21 + 11 = 32 16k = 32 Divide each side by '16'. k = 2 Simplifying k = 2
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