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Simplifying 3n + -4 = 9(3n + -4) + -1 Reorder the terms: -4 + 3n = 9(3n + -4) + -1 Reorder the terms: -4 + 3n = 9(-4 + 3n) + -1 -4 + 3n = (-4 * 9 + 3n * 9) + -1 -4 + 3n = (-36 + 27n) + -1 Reorder the terms: -4 + 3n = -36 + -1 + 27n Combine like terms: -36 + -1 = -37 -4 + 3n = -37 + 27n Solving -4 + 3n = -37 + 27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27n' to each side of the equation. -4 + 3n + -27n = -37 + 27n + -27n Combine like terms: 3n + -27n = -24n -4 + -24n = -37 + 27n + -27n Combine like terms: 27n + -27n = 0 -4 + -24n = -37 + 0 -4 + -24n = -37 Add '4' to each side of the equation. -4 + 4 + -24n = -37 + 4 Combine like terms: -4 + 4 = 0 0 + -24n = -37 + 4 -24n = -37 + 4 Combine like terms: -37 + 4 = -33 -24n = -33 Divide each side by '-24'. n = 1.375 Simplifying n = 1.375
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