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Simplifying 4(n + -4) = -12 + 5n Reorder the terms: 4(-4 + n) = -12 + 5n (-4 * 4 + n * 4) = -12 + 5n (-16 + 4n) = -12 + 5n Solving -16 + 4n = -12 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -16 + 4n + -5n = -12 + 5n + -5n Combine like terms: 4n + -5n = -1n -16 + -1n = -12 + 5n + -5n Combine like terms: 5n + -5n = 0 -16 + -1n = -12 + 0 -16 + -1n = -12 Add '16' to each side of the equation. -16 + 16 + -1n = -12 + 16 Combine like terms: -16 + 16 = 0 0 + -1n = -12 + 16 -1n = -12 + 16 Combine like terms: -12 + 16 = 4 -1n = 4 Divide each side by '-1'. n = -4 Simplifying n = -4
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