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Simplifying -97 = -7 + -6(n + 10) Reorder the terms: -97 = -7 + -6(10 + n) -97 = -7 + (10 * -6 + n * -6) -97 = -7 + (-60 + -6n) Combine like terms: -7 + -60 = -67 -97 = -67 + -6n Solving -97 = -67 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -97 + 6n = -67 + -6n + 6n Combine like terms: -6n + 6n = 0 -97 + 6n = -67 + 0 -97 + 6n = -67 Add '97' to each side of the equation. -97 + 97 + 6n = -67 + 97 Combine like terms: -97 + 97 = 0 0 + 6n = -67 + 97 6n = -67 + 97 Combine like terms: -67 + 97 = 30 6n = 30 Divide each side by '6'. n = 5 Simplifying n = 5
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