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Simplifying -5(n + 1) = 7 + 7n Reorder the terms: -5(1 + n) = 7 + 7n (1 * -5 + n * -5) = 7 + 7n (-5 + -5n) = 7 + 7n Solving -5 + -5n = 7 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -5 + -5n + -7n = 7 + 7n + -7n Combine like terms: -5n + -7n = -12n -5 + -12n = 7 + 7n + -7n Combine like terms: 7n + -7n = 0 -5 + -12n = 7 + 0 -5 + -12n = 7 Add '5' to each side of the equation. -5 + 5 + -12n = 7 + 5 Combine like terms: -5 + 5 = 0 0 + -12n = 7 + 5 -12n = 7 + 5 Combine like terms: 7 + 5 = 12 -12n = 12 Divide each side by '-12'. n = -1 Simplifying n = -1
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