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Simplifying -14 + -2n = 5(n + -7) Reorder the terms: -14 + -2n = 5(-7 + n) -14 + -2n = (-7 * 5 + n * 5) -14 + -2n = (-35 + 5n) Solving -14 + -2n = -35 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -14 + -2n + -5n = -35 + 5n + -5n Combine like terms: -2n + -5n = -7n -14 + -7n = -35 + 5n + -5n Combine like terms: 5n + -5n = 0 -14 + -7n = -35 + 0 -14 + -7n = -35 Add '14' to each side of the equation. -14 + 14 + -7n = -35 + 14 Combine like terms: -14 + 14 = 0 0 + -7n = -35 + 14 -7n = -35 + 14 Combine like terms: -35 + 14 = -21 -7n = -21 Divide each side by '-7'. n = 3 Simplifying n = 3
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