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Simplifying 3n + -7 = 2(n + 4) Reorder the terms: -7 + 3n = 2(n + 4) Reorder the terms: -7 + 3n = 2(4 + n) -7 + 3n = (4 * 2 + n * 2) -7 + 3n = (8 + 2n) Solving -7 + 3n = 8 + 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 = 8 + 2n + -2n Combine like terms: 3n + -2n = 1n -7 + 1n = 8 + 2n + -2n Combine like terms: 2n + -2n = 0 -7 + 1n = 8 + 0 -7 + 1n = 8 Add '7' to each side of the equation. -7 + 7 + 1n = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 1n = 8 + 7 1n = 8 + 7 Combine like terms: 8 + 7 = 15 1n = 15 Divide each side by '1'. n = 15 Simplifying n = 15
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