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Simplifying -8 + 4n = 7(n + -2) Reorder the terms: -8 + 4n = 7(-2 + n) -8 + 4n = (-2 * 7 + n * 7) -8 + 4n = (-14 + 7n) Solving -8 + 4n = -14 + 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. -8 + 4n + -7n = -14 + 7n + -7n Combine like terms: 4n + -7n = -3n -8 + -3n = -14 + 7n + -7n Combine like terms: 7n + -7n = 0 -8 + -3n = -14 + 0 -8 + -3n = -14 Add '8' to each side of the equation. -8 + 8 + -3n = -14 + 8 Combine like terms: -8 + 8 = 0 0 + -3n = -14 + 8 -3n = -14 + 8 Combine like terms: -14 + 8 = -6 -3n = -6 Divide each side by '-3'. n = 2 Simplifying n = 2
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