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Simplifying -5(n + 3) + 3 = -12 + -4n Reorder the terms: -5(3 + n) + 3 = -12 + -4n (3 * -5 + n * -5) + 3 = -12 + -4n (-15 + -5n) + 3 = -12 + -4n Reorder the terms: -15 + 3 + -5n = -12 + -4n Combine like terms: -15 + 3 = -12 -12 + -5n = -12 + -4n Add '12' to each side of the equation. -12 + 12 + -5n = -12 + 12 + -4n Combine like terms: -12 + 12 = 0 0 + -5n = -12 + 12 + -4n -5n = -12 + 12 + -4n Combine like terms: -12 + 12 = 0 -5n = 0 + -4n -5n = -4n Solving -5n = -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. -5n + 4n = -4n + 4n Combine like terms: -5n + 4n = -1n -1n = -4n + 4n Combine like terms: -4n + 4n = 0 -1n = 0 Divide each side by '-1'. n = 0 Simplifying n = 0
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