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Simplifying -1(n + 3) = 6n + 2(-4 + -6n) Reorder the terms: -1(3 + n) = 6n + 2(-4 + -6n) (3 * -1 + n * -1) = 6n + 2(-4 + -6n) (-3 + -1n) = 6n + 2(-4 + -6n) -3 + -1n = 6n + (-4 * 2 + -6n * 2) -3 + -1n = 6n + (-8 + -12n) Reorder the terms: -3 + -1n = -8 + 6n + -12n Combine like terms: 6n + -12n = -6n -3 + -1n = -8 + -6n Solving -3 + -1n = -8 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. -3 + -1n + 6n = -8 + -6n + 6n Combine like terms: -1n + 6n = 5n -3 + 5n = -8 + -6n + 6n Combine like terms: -6n + 6n = 0 -3 + 5n = -8 + 0 -3 + 5n = -8 Add '3' to each side of the equation. -3 + 3 + 5n = -8 + 3 Combine like terms: -3 + 3 = 0 0 + 5n = -8 + 3 5n = -8 + 3 Combine like terms: -8 + 3 = -5 5n = -5 Divide each side by '5'. n = -1 Simplifying n = -1
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