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Simplifying 7k + -40 = 7k + -8(1 + k) Reorder the terms: -40 + 7k = 7k + -8(1 + k) -40 + 7k = 7k + (1 * -8 + k * -8) -40 + 7k = 7k + (-8 + -8k) Reorder the terms: -40 + 7k = -8 + 7k + -8k Combine like terms: 7k + -8k = -1k -40 + 7k = -8 + -1k Solving -40 + 7k = -8 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. -40 + 7k + k = -8 + -1k + k Combine like terms: 7k + k = 8k -40 + 8k = -8 + -1k + k Combine like terms: -1k + k = 0 -40 + 8k = -8 + 0 -40 + 8k = -8 Add '40' to each side of the equation. -40 + 40 + 8k = -8 + 40 Combine like terms: -40 + 40 = 0 0 + 8k = -8 + 40 8k = -8 + 40 Combine like terms: -8 + 40 = 32 8k = 32 Divide each side by '8'. k = 4 Simplifying k = 4
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