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Simplifying 3(n + -4) = 2n + 5 Reorder the terms: 3(-4 + n) = 2n + 5 (-4 * 3 + n * 3) = 2n + 5 (-12 + 3n) = 2n + 5 Reorder the terms: -12 + 3n = 5 + 2n Solving -12 + 3n = 5 + 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. -12 + 3n + -2n = 5 + 2n + -2n Combine like terms: 3n + -2n = 1n -12 + 1n = 5 + 2n + -2n Combine like terms: 2n + -2n = 0 -12 + 1n = 5 + 0 -12 + 1n = 5 Add '12' to each side of the equation. -12 + 12 + 1n = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 1n = 5 + 12 1n = 5 + 12 Combine like terms: 5 + 12 = 17 1n = 17 Divide each side by '1'. n = 17 Simplifying n = 17
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