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Simplifying -5 + -3n = 7n + -5(n + 5) Reorder the terms: -5 + -3n = 7n + -5(5 + n) -5 + -3n = 7n + (5 * -5 + n * -5) -5 + -3n = 7n + (-25 + -5n) Reorder the terms: -5 + -3n = -25 + 7n + -5n Combine like terms: 7n + -5n = 2n -5 + -3n = -25 + 2n Solving -5 + -3n = -25 + 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. -5 + -3n + -2n = -25 + 2n + -2n Combine like terms: -3n + -2n = -5n -5 + -5n = -25 + 2n + -2n Combine like terms: 2n + -2n = 0 -5 + -5n = -25 + 0 -5 + -5n = -25 Add '5' to each side of the equation. -5 + 5 + -5n = -25 + 5 Combine like terms: -5 + 5 = 0 0 + -5n = -25 + 5 -5n = -25 + 5 Combine like terms: -25 + 5 = -20 -5n = -20 Divide each side by '-5'. n = 4 Simplifying n = 4
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