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Simplifying 2(-1 + 9n) + 60 = -7(n + 6) (-1 * 2 + 9n * 2) + 60 = -7(n + 6) (-2 + 18n) + 60 = -7(n + 6) Reorder the terms: -2 + 60 + 18n = -7(n + 6) Combine like terms: -2 + 60 = 58 58 + 18n = -7(n + 6) Reorder the terms: 58 + 18n = -7(6 + n) 58 + 18n = (6 * -7 + n * -7) 58 + 18n = (-42 + -7n) Solving 58 + 18n = -42 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 58 + 18n + 7n = -42 + -7n + 7n Combine like terms: 18n + 7n = 25n 58 + 25n = -42 + -7n + 7n Combine like terms: -7n + 7n = 0 58 + 25n = -42 + 0 58 + 25n = -42 Add '-58' to each side of the equation. 58 + -58 + 25n = -42 + -58 Combine like terms: 58 + -58 = 0 0 + 25n = -42 + -58 25n = -42 + -58 Combine like terms: -42 + -58 = -100 25n = -100 Divide each side by '25'. n = -4 Simplifying n = -4
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