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Simplifying 3n + -27 = -1 + 4(n + -8) Reorder the terms: -27 + 3n = -1 + 4(n + -8) Reorder the terms: -27 + 3n = -1 + 4(-8 + n) -27 + 3n = -1 + (-8 * 4 + n * 4) -27 + 3n = -1 + (-32 + 4n) Combine like terms: -1 + -32 = -33 -27 + 3n = -33 + 4n Solving -27 + 3n = -33 + 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. -27 + 3n + -4n = -33 + 4n + -4n Combine like terms: 3n + -4n = -1n -27 + -1n = -33 + 4n + -4n Combine like terms: 4n + -4n = 0 -27 + -1n = -33 + 0 -27 + -1n = -33 Add '27' to each side of the equation. -27 + 27 + -1n = -33 + 27 Combine like terms: -27 + 27 = 0 0 + -1n = -33 + 27 -1n = -33 + 27 Combine like terms: -33 + 27 = -6 -1n = -6 Divide each side by '-1'. n = 6 Simplifying n = 6
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