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Simplifying -95 = -2(4k + -5) + -7k Reorder the terms: -95 = -2(-5 + 4k) + -7k -95 = (-5 * -2 + 4k * -2) + -7k -95 = (10 + -8k) + -7k Combine like terms: -8k + -7k = -15k -95 = 10 + -15k Solving -95 = 10 + -15k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '15k' to each side of the equation. -95 + 15k = 10 + -15k + 15k Combine like terms: -15k + 15k = 0 -95 + 15k = 10 + 0 -95 + 15k = 10 Add '95' to each side of the equation. -95 + 95 + 15k = 10 + 95 Combine like terms: -95 + 95 = 0 0 + 15k = 10 + 95 15k = 10 + 95 Combine like terms: 10 + 95 = 105 15k = 105 Divide each side by '15'. k = 7 Simplifying k = 7
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