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Simplifying 4 + -1(n + -3) = 2(n + 1) Reorder the terms: 4 + -1(-3 + n) = 2(n + 1) 4 + (-3 * -1 + n * -1) = 2(n + 1) 4 + (3 + -1n) = 2(n + 1) Combine like terms: 4 + 3 = 7 7 + -1n = 2(n + 1) Reorder the terms: 7 + -1n = 2(1 + n) 7 + -1n = (1 * 2 + n * 2) 7 + -1n = (2 + 2n) Solving 7 + -1n = 2 + 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. 7 + -1n + -2n = 2 + 2n + -2n Combine like terms: -1n + -2n = -3n 7 + -3n = 2 + 2n + -2n Combine like terms: 2n + -2n = 0 7 + -3n = 2 + 0 7 + -3n = 2 Add '-7' to each side of the equation. 7 + -7 + -3n = 2 + -7 Combine like terms: 7 + -7 = 0 0 + -3n = 2 + -7 -3n = 2 + -7 Combine like terms: 2 + -7 = -5 -3n = -5 Divide each side by '-3'. n = 1.666666667 Simplifying n = 1.666666667
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