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Simplifying -5(n + 7) = 7 + 2n Reorder the terms: -5(7 + n) = 7 + 2n (7 * -5 + n * -5) = 7 + 2n (-35 + -5n) = 7 + 2n Solving -35 + -5n = 7 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -35 + -5n + -2n = 7 + 2n + -2n Combine like terms: -5n + -2n = -7n -35 + -7n = 7 + 2n + -2n Combine like terms: 2n + -2n = 0 -35 + -7n = 7 + 0 -35 + -7n = 7 Add '35' to each side of the equation. -35 + 35 + -7n = 7 + 35 Combine like terms: -35 + 35 = 0 0 + -7n = 7 + 35 -7n = 7 + 35 Combine like terms: 7 + 35 = 42 -7n = 42 Divide each side by '-7'. n = -6 Simplifying n = -6
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