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Simplifying 7 + -7(n + 1) = -2n + -35 Reorder the terms: 7 + -7(1 + n) = -2n + -35 7 + (1 * -7 + n * -7) = -2n + -35 7 + (-7 + -7n) = -2n + -35 Combine like terms: 7 + -7 = 0 0 + -7n = -2n + -35 -7n = -2n + -35 Reorder the terms: -7n = -35 + -2n Solving -7n = -35 + -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. -7n + 2n = -35 + -2n + 2n Combine like terms: -7n + 2n = -5n -5n = -35 + -2n + 2n Combine like terms: -2n + 2n = 0 -5n = -35 + 0 -5n = -35 Divide each side by '-5'. n = 7 Simplifying n = 7
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