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Simplifying 6(n + -5) + 2(1 + -6n) = 3 + 5n + -6n + -6 Reorder the terms: 6(-5 + n) + 2(1 + -6n) = 3 + 5n + -6n + -6 (-5 * 6 + n * 6) + 2(1 + -6n) = 3 + 5n + -6n + -6 (-30 + 6n) + 2(1 + -6n) = 3 + 5n + -6n + -6 -30 + 6n + (1 * 2 + -6n * 2) = 3 + 5n + -6n + -6 -30 + 6n + (2 + -12n) = 3 + 5n + -6n + -6 Reorder the terms: -30 + 2 + 6n + -12n = 3 + 5n + -6n + -6 Combine like terms: -30 + 2 = -28 -28 + 6n + -12n = 3 + 5n + -6n + -6 Combine like terms: 6n + -12n = -6n -28 + -6n = 3 + 5n + -6n + -6 Reorder the terms: -28 + -6n = 3 + -6 + 5n + -6n Combine like terms: 3 + -6 = -3 -28 + -6n = -3 + 5n + -6n Combine like terms: 5n + -6n = -1n -28 + -6n = -3 + -1n Solving -28 + -6n = -3 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -28 + -6n + n = -3 + -1n + n Combine like terms: -6n + n = -5n -28 + -5n = -3 + -1n + n Combine like terms: -1n + n = 0 -28 + -5n = -3 + 0 -28 + -5n = -3 Add '28' to each side of the equation. -28 + 28 + -5n = -3 + 28 Combine like terms: -28 + 28 = 0 0 + -5n = -3 + 28 -5n = -3 + 28 Combine like terms: -3 + 28 = 25 -5n = 25 Divide each side by '-5'. n = -5 Simplifying n = -5
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