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Simplifying -7(k + -5) + 7(8k + -5) = 49 Reorder the terms: -7(-5 + k) + 7(8k + -5) = 49 (-5 * -7 + k * -7) + 7(8k + -5) = 49 (35 + -7k) + 7(8k + -5) = 49 Reorder the terms: 35 + -7k + 7(-5 + 8k) = 49 35 + -7k + (-5 * 7 + 8k * 7) = 49 35 + -7k + (-35 + 56k) = 49 Reorder the terms: 35 + -35 + -7k + 56k = 49 Combine like terms: 35 + -35 = 0 0 + -7k + 56k = 49 -7k + 56k = 49 Combine like terms: -7k + 56k = 49k 49k = 49 Solving 49k = 49 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by '49'. k = 1 Simplifying k = 1
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