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Simplifying 7n + 30 = -5 + 7(8n + -2) Reorder the terms: 30 + 7n = -5 + 7(8n + -2) Reorder the terms: 30 + 7n = -5 + 7(-2 + 8n) 30 + 7n = -5 + (-2 * 7 + 8n * 7) 30 + 7n = -5 + (-14 + 56n) Combine like terms: -5 + -14 = -19 30 + 7n = -19 + 56n Solving 30 + 7n = -19 + 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. 30 + 7n + -56n = -19 + 56n + -56n Combine like terms: 7n + -56n = -49n 30 + -49n = -19 + 56n + -56n Combine like terms: 56n + -56n = 0 30 + -49n = -19 + 0 30 + -49n = -19 Add '-30' to each side of the equation. 30 + -30 + -49n = -19 + -30 Combine like terms: 30 + -30 = 0 0 + -49n = -19 + -30 -49n = -19 + -30 Combine like terms: -19 + -30 = -49 -49n = -49 Divide each side by '-49'. n = 1 Simplifying n = 1
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