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Simplifying -5n + 3(3n + -4) = 3(n + -6) Reorder the terms: -5n + 3(-4 + 3n) = 3(n + -6) -5n + (-4 * 3 + 3n * 3) = 3(n + -6) -5n + (-12 + 9n) = 3(n + -6) Reorder the terms: -12 + -5n + 9n = 3(n + -6) Combine like terms: -5n + 9n = 4n -12 + 4n = 3(n + -6) Reorder the terms: -12 + 4n = 3(-6 + n) -12 + 4n = (-6 * 3 + n * 3) -12 + 4n = (-18 + 3n) Solving -12 + 4n = -18 + 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. -12 + 4n + -3n = -18 + 3n + -3n Combine like terms: 4n + -3n = 1n -12 + 1n = -18 + 3n + -3n Combine like terms: 3n + -3n = 0 -12 + 1n = -18 + 0 -12 + 1n = -18 Add '12' to each side of the equation. -12 + 12 + 1n = -18 + 12 Combine like terms: -12 + 12 = 0 0 + 1n = -18 + 12 1n = -18 + 12 Combine like terms: -18 + 12 = -6 1n = -6 Divide each side by '1'. n = -6 Simplifying n = -6
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