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Simplifying 3(n + -7) = 2(n + 4) Reorder the terms: 3(-7 + n) = 2(n + 4) (-7 * 3 + n * 3) = 2(n + 4) (-21 + 3n) = 2(n + 4) Reorder the terms: -21 + 3n = 2(4 + n) -21 + 3n = (4 * 2 + n * 2) -21 + 3n = (8 + 2n) Solving -21 + 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. -21 + 3n + -2n = 8 + 2n + -2n Combine like terms: 3n + -2n = 1n -21 + 1n = 8 + 2n + -2n Combine like terms: 2n + -2n = 0 -21 + 1n = 8 + 0 -21 + 1n = 8 Add '21' to each side of the equation. -21 + 21 + 1n = 8 + 21 Combine like terms: -21 + 21 = 0 0 + 1n = 8 + 21 1n = 8 + 21 Combine like terms: 8 + 21 = 29 1n = 29 Divide each side by '1'. n = 29 Simplifying n = 29
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