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Simplifying -1n + -5 = 3(n + -7) Reorder the terms: -5 + -1n = 3(n + -7) Reorder the terms: -5 + -1n = 3(-7 + n) -5 + -1n = (-7 * 3 + n * 3) -5 + -1n = (-21 + 3n) Solving -5 + -1n = -21 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -5 + -1n + -3n = -21 + 3n + -3n Combine like terms: -1n + -3n = -4n -5 + -4n = -21 + 3n + -3n Combine like terms: 3n + -3n = 0 -5 + -4n = -21 + 0 -5 + -4n = -21 Add '5' to each side of the equation. -5 + 5 + -4n = -21 + 5 Combine like terms: -5 + 5 = 0 0 + -4n = -21 + 5 -4n = -21 + 5 Combine like terms: -21 + 5 = -16 -4n = -16 Divide each side by '-4'. n = 4 Simplifying n = 4
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