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Simplifying 5(n + -3) = 7 + 7n Reorder the terms: 5(-3 + n) = 7 + 7n (-3 * 5 + n * 5) = 7 + 7n (-15 + 5n) = 7 + 7n Solving -15 + 5n = 7 + 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. -15 + 5n + -7n = 7 + 7n + -7n Combine like terms: 5n + -7n = -2n -15 + -2n = 7 + 7n + -7n Combine like terms: 7n + -7n = 0 -15 + -2n = 7 + 0 -15 + -2n = 7 Add '15' to each side of the equation. -15 + 15 + -2n = 7 + 15 Combine like terms: -15 + 15 = 0 0 + -2n = 7 + 15 -2n = 7 + 15 Combine like terms: 7 + 15 = 22 -2n = 22 Divide each side by '-2'. n = -11 Simplifying n = -11
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