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Simplifying -8k + -7(5 + -2x) = -123 -8k + (5 * -7 + -2x * -7) = -123 -8k + (-35 + 14x) = -123 Reorder the terms: -35 + -8k + 14x = -123 Solving -35 + -8k + 14x = -123 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '35' to each side of the equation. -35 + -8k + 35 + 14x = -123 + 35 Reorder the terms: -35 + 35 + -8k + 14x = -123 + 35 Combine like terms: -35 + 35 = 0 0 + -8k + 14x = -123 + 35 -8k + 14x = -123 + 35 Combine like terms: -123 + 35 = -88 -8k + 14x = -88 Add '-14x' to each side of the equation. -8k + 14x + -14x = -88 + -14x Combine like terms: 14x + -14x = 0 -8k + 0 = -88 + -14x -8k = -88 + -14x Divide each side by '-8'. k = 11 + 1.75x Simplifying k = 11 + 1.75x
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