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Simplifying -7n + -5 + 2n = 5[n + 1] Reorder the terms: -5 + -7n + 2n = 5[n + 1] Combine like terms: -7n + 2n = -5n -5 + -5n = 5[n + 1] Reorder the terms: -5 + -5n = 5[1 + n] -5 + -5n = [1 * 5 + n * 5] -5 + -5n = [5 + 5n] Solving -5 + -5n = 5 + 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. -5 + -5n + -5n = 5 + 5n + -5n Combine like terms: -5n + -5n = -10n -5 + -10n = 5 + 5n + -5n Combine like terms: 5n + -5n = 0 -5 + -10n = 5 + 0 -5 + -10n = 5 Add '5' to each side of the equation. -5 + 5 + -10n = 5 + 5 Combine like terms: -5 + 5 = 0 0 + -10n = 5 + 5 -10n = 5 + 5 Combine like terms: 5 + 5 = 10 -10n = 10 Divide each side by '-10'. n = -1 Simplifying n = -1
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