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Simplifying -6 + -1n = -3n + -4(n + 6) Reorder the terms: -6 + -1n = -3n + -4(6 + n) -6 + -1n = -3n + (6 * -4 + n * -4) -6 + -1n = -3n + (-24 + -4n) Reorder the terms: -6 + -1n = -24 + -3n + -4n Combine like terms: -3n + -4n = -7n -6 + -1n = -24 + -7n Solving -6 + -1n = -24 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. -6 + -1n + 7n = -24 + -7n + 7n Combine like terms: -1n + 7n = 6n -6 + 6n = -24 + -7n + 7n Combine like terms: -7n + 7n = 0 -6 + 6n = -24 + 0 -6 + 6n = -24 Add '6' to each side of the equation. -6 + 6 + 6n = -24 + 6 Combine like terms: -6 + 6 = 0 0 + 6n = -24 + 6 6n = -24 + 6 Combine like terms: -24 + 6 = -18 6n = -18 Divide each side by '6'. n = -3 Simplifying n = -3
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