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Simplifying 7n + -5(n + 7) = -40 + 7n Reorder the terms: 7n + -5(7 + n) = -40 + 7n 7n + (7 * -5 + n * -5) = -40 + 7n 7n + (-35 + -5n) = -40 + 7n Reorder the terms: -35 + 7n + -5n = -40 + 7n Combine like terms: 7n + -5n = 2n -35 + 2n = -40 + 7n Solving -35 + 2n = -40 + 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. -35 + 2n + -7n = -40 + 7n + -7n Combine like terms: 2n + -7n = -5n -35 + -5n = -40 + 7n + -7n Combine like terms: 7n + -7n = 0 -35 + -5n = -40 + 0 -35 + -5n = -40 Add '35' to each side of the equation. -35 + 35 + -5n = -40 + 35 Combine like terms: -35 + 35 = 0 0 + -5n = -40 + 35 -5n = -40 + 35 Combine like terms: -40 + 35 = -5 -5n = -5 Divide each side by '-5'. n = 1 Simplifying n = 1
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