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Simplifying 5n + -12 = 5n + -4(6 + n) Reorder the terms: -12 + 5n = 5n + -4(6 + n) -12 + 5n = 5n + (6 * -4 + n * -4) -12 + 5n = 5n + (-24 + -4n) Reorder the terms: -12 + 5n = -24 + 5n + -4n Combine like terms: 5n + -4n = 1n -12 + 5n = -24 + 1n Solving -12 + 5n = -24 + 1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -12 + 5n + -1n = -24 + 1n + -1n Combine like terms: 5n + -1n = 4n -12 + 4n = -24 + 1n + -1n Combine like terms: 1n + -1n = 0 -12 + 4n = -24 + 0 -12 + 4n = -24 Add '12' to each side of the equation. -12 + 12 + 4n = -24 + 12 Combine like terms: -12 + 12 = 0 0 + 4n = -24 + 12 4n = -24 + 12 Combine like terms: -24 + 12 = -12 4n = -12 Divide each side by '4'. n = -3 Simplifying n = -3
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