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Simplifying 2(n + -4) + 5 = 3(n + 1) Reorder the terms: 2(-4 + n) + 5 = 3(n + 1) (-4 * 2 + n * 2) + 5 = 3(n + 1) (-8 + 2n) + 5 = 3(n + 1) Reorder the terms: -8 + 5 + 2n = 3(n + 1) Combine like terms: -8 + 5 = -3 -3 + 2n = 3(n + 1) Reorder the terms: -3 + 2n = 3(1 + n) -3 + 2n = (1 * 3 + n * 3) -3 + 2n = (3 + 3n) Solving -3 + 2n = 3 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -3 + 2n + -3n = 3 + 3n + -3n Combine like terms: 2n + -3n = -1n -3 + -1n = 3 + 3n + -3n Combine like terms: 3n + -3n = 0 -3 + -1n = 3 + 0 -3 + -1n = 3 Add '3' to each side of the equation. -3 + 3 + -1n = 3 + 3 Combine like terms: -3 + 3 = 0 0 + -1n = 3 + 3 -1n = 3 + 3 Combine like terms: 3 + 3 = 6 -1n = 6 Divide each side by '-1'. n = -6 Simplifying n = -6
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