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Simplifying 7(n + -5) + -55 = 2(n + 25) Reorder the terms: 7(-5 + n) + -55 = 2(n + 25) (-5 * 7 + n * 7) + -55 = 2(n + 25) (-35 + 7n) + -55 = 2(n + 25) Reorder the terms: -35 + -55 + 7n = 2(n + 25) Combine like terms: -35 + -55 = -90 -90 + 7n = 2(n + 25) Reorder the terms: -90 + 7n = 2(25 + n) -90 + 7n = (25 * 2 + n * 2) -90 + 7n = (50 + 2n) Solving -90 + 7n = 50 + 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. -90 + 7n + -2n = 50 + 2n + -2n Combine like terms: 7n + -2n = 5n -90 + 5n = 50 + 2n + -2n Combine like terms: 2n + -2n = 0 -90 + 5n = 50 + 0 -90 + 5n = 50 Add '90' to each side of the equation. -90 + 90 + 5n = 50 + 90 Combine like terms: -90 + 90 = 0 0 + 5n = 50 + 90 5n = 50 + 90 Combine like terms: 50 + 90 = 140 5n = 140 Divide each side by '5'. n = 28 Simplifying n = 28
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