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Simplifying 3(7n + -5) + 3 = -7n + -12 Reorder the terms: 3(-5 + 7n) + 3 = -7n + -12 (-5 * 3 + 7n * 3) + 3 = -7n + -12 (-15 + 21n) + 3 = -7n + -12 Reorder the terms: -15 + 3 + 21n = -7n + -12 Combine like terms: -15 + 3 = -12 -12 + 21n = -7n + -12 Reorder the terms: -12 + 21n = -12 + -7n Add '12' to each side of the equation. -12 + 12 + 21n = -12 + 12 + -7n Combine like terms: -12 + 12 = 0 0 + 21n = -12 + 12 + -7n 21n = -12 + 12 + -7n Combine like terms: -12 + 12 = 0 21n = 0 + -7n 21n = -7n Solving 21n = -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. 21n + 7n = -7n + 7n Combine like terms: 21n + 7n = 28n 28n = -7n + 7n Combine like terms: -7n + 7n = 0 28n = 0 Divide each side by '28'. n = 0 Simplifying n = 0
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