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Simplifying 3n + -4 = 4(n + -1) + -8 Reorder the terms: -4 + 3n = 4(n + -1) + -8 Reorder the terms: -4 + 3n = 4(-1 + n) + -8 -4 + 3n = (-1 * 4 + n * 4) + -8 -4 + 3n = (-4 + 4n) + -8 Reorder the terms: -4 + 3n = -4 + -8 + 4n Combine like terms: -4 + -8 = -12 -4 + 3n = -12 + 4n Solving -4 + 3n = -12 + 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. -4 + 3n + -4n = -12 + 4n + -4n Combine like terms: 3n + -4n = -1n -4 + -1n = -12 + 4n + -4n Combine like terms: 4n + -4n = 0 -4 + -1n = -12 + 0 -4 + -1n = -12 Add '4' to each side of the equation. -4 + 4 + -1n = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -1n = -12 + 4 -1n = -12 + 4 Combine like terms: -12 + 4 = -8 -1n = -8 Divide each side by '-1'. n = 8 Simplifying n = 8
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