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Simplifying 13n + -1(16 + -3n) = 4(3n + 1) + -1 13n + (16 * -1 + -3n * -1) = 4(3n + 1) + -1 13n + (-16 + 3n) = 4(3n + 1) + -1 Reorder the terms: -16 + 13n + 3n = 4(3n + 1) + -1 Combine like terms: 13n + 3n = 16n -16 + 16n = 4(3n + 1) + -1 Reorder the terms: -16 + 16n = 4(1 + 3n) + -1 -16 + 16n = (1 * 4 + 3n * 4) + -1 -16 + 16n = (4 + 12n) + -1 Reorder the terms: -16 + 16n = 4 + -1 + 12n Combine like terms: 4 + -1 = 3 -16 + 16n = 3 + 12n Solving -16 + 16n = 3 + 12n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12n' to each side of the equation. -16 + 16n + -12n = 3 + 12n + -12n Combine like terms: 16n + -12n = 4n -16 + 4n = 3 + 12n + -12n Combine like terms: 12n + -12n = 0 -16 + 4n = 3 + 0 -16 + 4n = 3 Add '16' to each side of the equation. -16 + 16 + 4n = 3 + 16 Combine like terms: -16 + 16 = 0 0 + 4n = 3 + 16 4n = 3 + 16 Combine like terms: 3 + 16 = 19 4n = 19 Divide each side by '4'. n = 4.75 Simplifying n = 4.75
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