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Simplifying 13 = 3(3n + -4) + -4n Reorder the terms: 13 = 3(-4 + 3n) + -4n 13 = (-4 * 3 + 3n * 3) + -4n 13 = (-12 + 9n) + -4n Combine like terms: 9n + -4n = 5n 13 = -12 + 5n Solving 13 = -12 + 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. 13 + -5n = -12 + 5n + -5n Combine like terms: 5n + -5n = 0 13 + -5n = -12 + 0 13 + -5n = -12 Add '-13' to each side of the equation. 13 + -13 + -5n = -12 + -13 Combine like terms: 13 + -13 = 0 0 + -5n = -12 + -13 -5n = -12 + -13 Combine like terms: -12 + -13 = -25 -5n = -25 Divide each side by '-5'. n = 5 Simplifying n = 5
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