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Simplifying 13 + -3n = 4 + -1(n + 7) Reorder the terms: 13 + -3n = 4 + -1(7 + n) 13 + -3n = 4 + (7 * -1 + n * -1) 13 + -3n = 4 + (-7 + -1n) Combine like terms: 4 + -7 = -3 13 + -3n = -3 + -1n Solving 13 + -3n = -3 + -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. 13 + -3n + n = -3 + -1n + n Combine like terms: -3n + n = -2n 13 + -2n = -3 + -1n + n Combine like terms: -1n + n = 0 13 + -2n = -3 + 0 13 + -2n = -3 Add '-13' to each side of the equation. 13 + -13 + -2n = -3 + -13 Combine like terms: 13 + -13 = 0 0 + -2n = -3 + -13 -2n = -3 + -13 Combine like terms: -3 + -13 = -16 -2n = -16 Divide each side by '-2'. n = 8 Simplifying n = 8
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