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Simplifying -5(n + 6) + -1(2 + -3n) = -3n Reorder the terms: -5(6 + n) + -1(2 + -3n) = -3n (6 * -5 + n * -5) + -1(2 + -3n) = -3n (-30 + -5n) + -1(2 + -3n) = -3n -30 + -5n + (2 * -1 + -3n * -1) = -3n -30 + -5n + (-2 + 3n) = -3n Reorder the terms: -30 + -2 + -5n + 3n = -3n Combine like terms: -30 + -2 = -32 -32 + -5n + 3n = -3n Combine like terms: -5n + 3n = -2n -32 + -2n = -3n Solving -32 + -2n = -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. -32 + -2n + 3n = -3n + 3n Combine like terms: -2n + 3n = 1n -32 + 1n = -3n + 3n Combine like terms: -3n + 3n = 0 -32 + 1n = 0 Add '32' to each side of the equation. -32 + 32 + 1n = 0 + 32 Combine like terms: -32 + 32 = 0 0 + 1n = 0 + 32 1n = 0 + 32 Combine like terms: 0 + 32 = 32 1n = 32 Divide each side by '1'. n = 32 Simplifying n = 32
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