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Simplifying 13 = n + ((n + -7) + -1(n + 5)) Reorder the terms: 13 = n + ((-7 + n) + -1(n + 5)) Remove parenthesis around (-7 + n) 13 = n + (-7 + n + -1(n + 5)) Reorder the terms: 13 = n + (-7 + n + -1(5 + n)) 13 = n + (-7 + n + (5 * -1 + n * -1)) 13 = n + (-7 + n + (-5 + -1n)) Reorder the terms: 13 = n + (-7 + -5 + n + -1n) Combine like terms: -7 + -5 = -12 13 = n + (-12 + n + -1n) Combine like terms: n + -1n = 0 13 = n + (-12 + 0) 13 = n + (-12) 13 = n + -12 Reorder the terms: 13 = -12 + n Solving 13 = -12 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 13 + -1n = -12 + n + -1n Combine like terms: n + -1n = 0 13 + -1n = -12 + 0 13 + -1n = -12 Add '-13' to each side of the equation. 13 + -13 + -1n = -12 + -13 Combine like terms: 13 + -13 = 0 0 + -1n = -12 + -13 -1n = -12 + -13 Combine like terms: -12 + -13 = -25 -1n = -25 Divide each side by '-1'. n = 25 Simplifying n = 25
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