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Simplifying 3n + -4(7 + n) = -12 + 3n 3n + (7 * -4 + n * -4) = -12 + 3n 3n + (-28 + -4n) = -12 + 3n Reorder the terms: -28 + 3n + -4n = -12 + 3n Combine like terms: 3n + -4n = -1n -28 + -1n = -12 + 3n Solving -28 + -1n = -12 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -28 + -1n + -3n = -12 + 3n + -3n Combine like terms: -1n + -3n = -4n -28 + -4n = -12 + 3n + -3n Combine like terms: 3n + -3n = 0 -28 + -4n = -12 + 0 -28 + -4n = -12 Add '28' to each side of the equation. -28 + 28 + -4n = -12 + 28 Combine like terms: -28 + 28 = 0 0 + -4n = -12 + 28 -4n = -12 + 28 Combine like terms: -12 + 28 = 16 -4n = 16 Divide each side by '-4'. n = -4 Simplifying n = -4
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