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Simplifying -7n + 40 = -2(7n + 1) Reorder the terms: 40 + -7n = -2(7n + 1) Reorder the terms: 40 + -7n = -2(1 + 7n) 40 + -7n = (1 * -2 + 7n * -2) 40 + -7n = (-2 + -14n) Solving 40 + -7n = -2 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 40 + -7n + 14n = -2 + -14n + 14n Combine like terms: -7n + 14n = 7n 40 + 7n = -2 + -14n + 14n Combine like terms: -14n + 14n = 0 40 + 7n = -2 + 0 40 + 7n = -2 Add '-40' to each side of the equation. 40 + -40 + 7n = -2 + -40 Combine like terms: 40 + -40 = 0 0 + 7n = -2 + -40 7n = -2 + -40 Combine like terms: -2 + -40 = -42 7n = -42 Divide each side by '7'. n = -6 Simplifying n = -6
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