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Simplifying 7n + -7(n + 3) = 3n + -3 Reorder the terms: 7n + -7(3 + n) = 3n + -3 7n + (3 * -7 + n * -7) = 3n + -3 7n + (-21 + -7n) = 3n + -3 Reorder the terms: -21 + 7n + -7n = 3n + -3 Combine like terms: 7n + -7n = 0 -21 + 0 = 3n + -3 -21 = 3n + -3 Reorder the terms: -21 = -3 + 3n Solving -21 = -3 + 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. -21 + -3n = -3 + 3n + -3n Combine like terms: 3n + -3n = 0 -21 + -3n = -3 + 0 -21 + -3n = -3 Add '21' to each side of the equation. -21 + 21 + -3n = -3 + 21 Combine like terms: -21 + 21 = 0 0 + -3n = -3 + 21 -3n = -3 + 21 Combine like terms: -3 + 21 = 18 -3n = 18 Divide each side by '-3'. n = -6 Simplifying n = -6
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