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Simplifying 163 = 3n + -7(3 + 7n) 163 = 3n + (3 * -7 + 7n * -7) 163 = 3n + (-21 + -49n) Reorder the terms: 163 = -21 + 3n + -49n Combine like terms: 3n + -49n = -46n 163 = -21 + -46n Solving 163 = -21 + -46n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '46n' to each side of the equation. 163 + 46n = -21 + -46n + 46n Combine like terms: -46n + 46n = 0 163 + 46n = -21 + 0 163 + 46n = -21 Add '-163' to each side of the equation. 163 + -163 + 46n = -21 + -163 Combine like terms: 163 + -163 = 0 0 + 46n = -21 + -163 46n = -21 + -163 Combine like terms: -21 + -163 = -184 46n = -184 Divide each side by '46'. n = -4 Simplifying n = -4
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