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Simplifying 7n + 7 = 3(n + -3) Reorder the terms: 7 + 7n = 3(n + -3) Reorder the terms: 7 + 7n = 3(-3 + n) 7 + 7n = (-3 * 3 + n * 3) 7 + 7n = (-9 + 3n) Solving 7 + 7n = -9 + 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. 7 + 7n + -3n = -9 + 3n + -3n Combine like terms: 7n + -3n = 4n 7 + 4n = -9 + 3n + -3n Combine like terms: 3n + -3n = 0 7 + 4n = -9 + 0 7 + 4n = -9 Add '-7' to each side of the equation. 7 + -7 + 4n = -9 + -7 Combine like terms: 7 + -7 = 0 0 + 4n = -9 + -7 4n = -9 + -7 Combine like terms: -9 + -7 = -16 4n = -16 Divide each side by '4'. n = -4 Simplifying n = -4
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