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Simplifying 7 + -1(3n + -2) = 7 + -4n + -3n Reorder the terms: 7 + -1(-2 + 3n) = 7 + -4n + -3n 7 + (-2 * -1 + 3n * -1) = 7 + -4n + -3n 7 + (2 + -3n) = 7 + -4n + -3n Combine like terms: 7 + 2 = 9 9 + -3n = 7 + -4n + -3n Combine like terms: -4n + -3n = -7n 9 + -3n = 7 + -7n Solving 9 + -3n = 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. 9 + -3n + 7n = 7 + -7n + 7n Combine like terms: -3n + 7n = 4n 9 + 4n = 7 + -7n + 7n Combine like terms: -7n + 7n = 0 9 + 4n = 7 + 0 9 + 4n = 7 Add '-9' to each side of the equation. 9 + -9 + 4n = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 4n = 7 + -9 4n = 7 + -9 Combine like terms: 7 + -9 = -2 4n = -2 Divide each side by '4'. n = -0.5 Simplifying n = -0.5
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