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Simplifying 1 + -3n = -13 + -1n + 7 + -5 Reorder the terms: 1 + -3n = -13 + 7 + -5 + -1n Combine like terms: -13 + 7 = -6 1 + -3n = -6 + -5 + -1n Combine like terms: -6 + -5 = -11 1 + -3n = -11 + -1n Solving 1 + -3n = -11 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 1 + -3n + n = -11 + -1n + n Combine like terms: -3n + n = -2n 1 + -2n = -11 + -1n + n Combine like terms: -1n + n = 0 1 + -2n = -11 + 0 1 + -2n = -11 Add '-1' to each side of the equation. 1 + -1 + -2n = -11 + -1 Combine like terms: 1 + -1 = 0 0 + -2n = -11 + -1 -2n = -11 + -1 Combine like terms: -11 + -1 = -12 -2n = -12 Divide each side by '-2'. n = 6 Simplifying n = 6
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