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Simplifying -40 + -8k = 2(-7k + -8) Reorder the terms: -40 + -8k = 2(-8 + -7k) -40 + -8k = (-8 * 2 + -7k * 2) -40 + -8k = (-16 + -14k) Solving -40 + -8k = -16 + -14k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '14k' to each side of the equation. -40 + -8k + 14k = -16 + -14k + 14k Combine like terms: -8k + 14k = 6k -40 + 6k = -16 + -14k + 14k Combine like terms: -14k + 14k = 0 -40 + 6k = -16 + 0 -40 + 6k = -16 Add '40' to each side of the equation. -40 + 40 + 6k = -16 + 40 Combine like terms: -40 + 40 = 0 0 + 6k = -16 + 40 6k = -16 + 40 Combine like terms: -16 + 40 = 24 6k = 24 Divide each side by '6'. k = 4 Simplifying k = 4
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