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Simplifying -7(n + 4) + 30 = -3n + -14 Reorder the terms: -7(4 + n) + 30 = -3n + -14 (4 * -7 + n * -7) + 30 = -3n + -14 (-28 + -7n) + 30 = -3n + -14 Reorder the terms: -28 + 30 + -7n = -3n + -14 Combine like terms: -28 + 30 = 2 2 + -7n = -3n + -14 Reorder the terms: 2 + -7n = -14 + -3n Solving 2 + -7n = -14 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 2 + -7n + 3n = -14 + -3n + 3n Combine like terms: -7n + 3n = -4n 2 + -4n = -14 + -3n + 3n Combine like terms: -3n + 3n = 0 2 + -4n = -14 + 0 2 + -4n = -14 Add '-2' to each side of the equation. 2 + -2 + -4n = -14 + -2 Combine like terms: 2 + -2 = 0 0 + -4n = -14 + -2 -4n = -14 + -2 Combine like terms: -14 + -2 = -16 -4n = -16 Divide each side by '-4'. n = 4 Simplifying n = 4
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