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Simplifying 3(n + -4) = 4(n + -6) Reorder the terms: 3(-4 + n) = 4(n + -6) (-4 * 3 + n * 3) = 4(n + -6) (-12 + 3n) = 4(n + -6) Reorder the terms: -12 + 3n = 4(-6 + n) -12 + 3n = (-6 * 4 + n * 4) -12 + 3n = (-24 + 4n) Solving -12 + 3n = -24 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -12 + 3n + -4n = -24 + 4n + -4n Combine like terms: 3n + -4n = -1n -12 + -1n = -24 + 4n + -4n Combine like terms: 4n + -4n = 0 -12 + -1n = -24 + 0 -12 + -1n = -24 Add '12' to each side of the equation. -12 + 12 + -1n = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -1n = -24 + 12 -1n = -24 + 12 Combine like terms: -24 + 12 = -12 -1n = -12 Divide each side by '-1'. n = 12 Simplifying n = 12
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