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Simplifying -2n + 30 = -3n + 7(-6n + -8) Reorder the terms: 30 + -2n = -3n + 7(-6n + -8) Reorder the terms: 30 + -2n = -3n + 7(-8 + -6n) 30 + -2n = -3n + (-8 * 7 + -6n * 7) 30 + -2n = -3n + (-56 + -42n) Reorder the terms: 30 + -2n = -56 + -3n + -42n Combine like terms: -3n + -42n = -45n 30 + -2n = -56 + -45n Solving 30 + -2n = -56 + -45n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '45n' to each side of the equation. 30 + -2n + 45n = -56 + -45n + 45n Combine like terms: -2n + 45n = 43n 30 + 43n = -56 + -45n + 45n Combine like terms: -45n + 45n = 0 30 + 43n = -56 + 0 30 + 43n = -56 Add '-30' to each side of the equation. 30 + -30 + 43n = -56 + -30 Combine like terms: 30 + -30 = 0 0 + 43n = -56 + -30 43n = -56 + -30 Combine like terms: -56 + -30 = -86 43n = -86 Divide each side by '43'. n = -2 Simplifying n = -2
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