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Simplifying -23 + 7n = -3n + 7(7 + 4n) -23 + 7n = -3n + (7 * 7 + 4n * 7) -23 + 7n = -3n + (49 + 28n) Reorder the terms: -23 + 7n = 49 + -3n + 28n Combine like terms: -3n + 28n = 25n -23 + 7n = 49 + 25n Solving -23 + 7n = 49 + 25n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-25n' to each side of the equation. -23 + 7n + -25n = 49 + 25n + -25n Combine like terms: 7n + -25n = -18n -23 + -18n = 49 + 25n + -25n Combine like terms: 25n + -25n = 0 -23 + -18n = 49 + 0 -23 + -18n = 49 Add '23' to each side of the equation. -23 + 23 + -18n = 49 + 23 Combine like terms: -23 + 23 = 0 0 + -18n = 49 + 23 -18n = 49 + 23 Combine like terms: 49 + 23 = 72 -18n = 72 Divide each side by '-18'. n = -4 Simplifying n = -4
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