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Simplifying 3(n + -4) = 5(n + -5) Reorder the terms: 3(-4 + n) = 5(n + -5) (-4 * 3 + n * 3) = 5(n + -5) (-12 + 3n) = 5(n + -5) Reorder the terms: -12 + 3n = 5(-5 + n) -12 + 3n = (-5 * 5 + n * 5) -12 + 3n = (-25 + 5n) Solving -12 + 3n = -25 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -12 + 3n + -5n = -25 + 5n + -5n Combine like terms: 3n + -5n = -2n -12 + -2n = -25 + 5n + -5n Combine like terms: 5n + -5n = 0 -12 + -2n = -25 + 0 -12 + -2n = -25 Add '12' to each side of the equation. -12 + 12 + -2n = -25 + 12 Combine like terms: -12 + 12 = 0 0 + -2n = -25 + 12 -2n = -25 + 12 Combine like terms: -25 + 12 = -13 -2n = -13 Divide each side by '-2'. n = 6.5 Simplifying n = 6.5
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