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Simplifying 7n + -2(x + -5) = 3n + -21 Reorder the terms: 7n + -2(-5 + x) = 3n + -21 7n + (-5 * -2 + x * -2) = 3n + -21 7n + (10 + -2x) = 3n + -21 Reorder the terms: 10 + 7n + -2x = 3n + -21 Reorder the terms: 10 + 7n + -2x = -21 + 3n Solving 10 + 7n + -2x = -21 + 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. 10 + 7n + -3n + -2x = -21 + 3n + -3n Combine like terms: 7n + -3n = 4n 10 + 4n + -2x = -21 + 3n + -3n Combine like terms: 3n + -3n = 0 10 + 4n + -2x = -21 + 0 10 + 4n + -2x = -21 Add '-10' to each side of the equation. 10 + 4n + -10 + -2x = -21 + -10 Reorder the terms: 10 + -10 + 4n + -2x = -21 + -10 Combine like terms: 10 + -10 = 0 0 + 4n + -2x = -21 + -10 4n + -2x = -21 + -10 Combine like terms: -21 + -10 = -31 4n + -2x = -31 Add '2x' to each side of the equation. 4n + -2x + 2x = -31 + 2x Combine like terms: -2x + 2x = 0 4n + 0 = -31 + 2x 4n = -31 + 2x Divide each side by '4'. n = -7.75 + 0.5x Simplifying n = -7.75 + 0.5x
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