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Simplifying -130 = 5(k + -7) Reorder the terms: -130 = 5(-7 + k) -130 = (-7 * 5 + k * 5) -130 = (-35 + 5k) Solving -130 = -35 + 5k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5k' to each side of the equation. -130 + -5k = -35 + 5k + -5k Combine like terms: 5k + -5k = 0 -130 + -5k = -35 + 0 -130 + -5k = -35 Add '130' to each side of the equation. -130 + 130 + -5k = -35 + 130 Combine like terms: -130 + 130 = 0 0 + -5k = -35 + 130 -5k = -35 + 130 Combine like terms: -35 + 130 = 95 -5k = 95 Divide each side by '-5'. k = -19 Simplifying k = -19
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