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Simplifying -93 = 5 + -7(3n + -7) Reorder the terms: -93 = 5 + -7(-7 + 3n) -93 = 5 + (-7 * -7 + 3n * -7) -93 = 5 + (49 + -21n) Combine like terms: 5 + 49 = 54 -93 = 54 + -21n Solving -93 = 54 + -21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '21n' to each side of the equation. -93 + 21n = 54 + -21n + 21n Combine like terms: -21n + 21n = 0 -93 + 21n = 54 + 0 -93 + 21n = 54 Add '93' to each side of the equation. -93 + 93 + 21n = 54 + 93 Combine like terms: -93 + 93 = 0 0 + 21n = 54 + 93 21n = 54 + 93 Combine like terms: 54 + 93 = 147 21n = 147 Divide each side by '21'. n = 7 Simplifying n = 7
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