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Simplifying 12n + -3 = 7(n + -4) + 5 Reorder the terms: -3 + 12n = 7(n + -4) + 5 Reorder the terms: -3 + 12n = 7(-4 + n) + 5 -3 + 12n = (-4 * 7 + n * 7) + 5 -3 + 12n = (-28 + 7n) + 5 Reorder the terms: -3 + 12n = -28 + 5 + 7n Combine like terms: -28 + 5 = -23 -3 + 12n = -23 + 7n Solving -3 + 12n = -23 + 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. -3 + 12n + -7n = -23 + 7n + -7n Combine like terms: 12n + -7n = 5n -3 + 5n = -23 + 7n + -7n Combine like terms: 7n + -7n = 0 -3 + 5n = -23 + 0 -3 + 5n = -23 Add '3' to each side of the equation. -3 + 3 + 5n = -23 + 3 Combine like terms: -3 + 3 = 0 0 + 5n = -23 + 3 5n = -23 + 3 Combine like terms: -23 + 3 = -20 5n = -20 Divide each side by '5'. n = -4 Simplifying n = -4
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