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Simplifying 7(-4n + 3) + 2 = -7n + -40 Reorder the terms: 7(3 + -4n) + 2 = -7n + -40 (3 * 7 + -4n * 7) + 2 = -7n + -40 (21 + -28n) + 2 = -7n + -40 Reorder the terms: 21 + 2 + -28n = -7n + -40 Combine like terms: 21 + 2 = 23 23 + -28n = -7n + -40 Reorder the terms: 23 + -28n = -40 + -7n Solving 23 + -28n = -40 + -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. 23 + -28n + 7n = -40 + -7n + 7n Combine like terms: -28n + 7n = -21n 23 + -21n = -40 + -7n + 7n Combine like terms: -7n + 7n = 0 23 + -21n = -40 + 0 23 + -21n = -40 Add '-23' to each side of the equation. 23 + -23 + -21n = -40 + -23 Combine like terms: 23 + -23 = 0 0 + -21n = -40 + -23 -21n = -40 + -23 Combine like terms: -40 + -23 = -63 -21n = -63 Divide each side by '-21'. n = 3 Simplifying n = 3
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