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Simplifying -7n + -23 = -2(1 + 5n) Reorder the terms: -23 + -7n = -2(1 + 5n) -23 + -7n = (1 * -2 + 5n * -2) -23 + -7n = (-2 + -10n) Solving -23 + -7n = -2 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. -23 + -7n + 10n = -2 + -10n + 10n Combine like terms: -7n + 10n = 3n -23 + 3n = -2 + -10n + 10n Combine like terms: -10n + 10n = 0 -23 + 3n = -2 + 0 -23 + 3n = -2 Add '23' to each side of the equation. -23 + 23 + 3n = -2 + 23 Combine like terms: -23 + 23 = 0 0 + 3n = -2 + 23 3n = -2 + 23 Combine like terms: -2 + 23 = 21 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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