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Simplifying 5 + 3(n + -4) = 2(n + 1) Reorder the terms: 5 + 3(-4 + n) = 2(n + 1) 5 + (-4 * 3 + n * 3) = 2(n + 1) 5 + (-12 + 3n) = 2(n + 1) Combine like terms: 5 + -12 = -7 -7 + 3n = 2(n + 1) Reorder the terms: -7 + 3n = 2(1 + n) -7 + 3n = (1 * 2 + n * 2) -7 + 3n = (2 + 2n) Solving -7 + 3n = 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 + 3n + -2n = 2 + 2n + -2n Combine like terms: 3n + -2n = 1n -7 + 1n = 2 + 2n + -2n Combine like terms: 2n + -2n = 0 -7 + 1n = 2 + 0 -7 + 1n = 2 Add '7' to each side of the equation. -7 + 7 + 1n = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 1n = 2 + 7 1n = 2 + 7 Combine like terms: 2 + 7 = 9 1n = 9 Divide each side by '1'. n = 9 Simplifying n = 9
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