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Simplifying -6n + -35 = -1(n + 5) + 6 Reorder the terms: -35 + -6n = -1(n + 5) + 6 Reorder the terms: -35 + -6n = -1(5 + n) + 6 -35 + -6n = (5 * -1 + n * -1) + 6 -35 + -6n = (-5 + -1n) + 6 Reorder the terms: -35 + -6n = -5 + 6 + -1n Combine like terms: -5 + 6 = 1 -35 + -6n = 1 + -1n Solving -35 + -6n = 1 + -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. -35 + -6n + n = 1 + -1n + n Combine like terms: -6n + n = -5n -35 + -5n = 1 + -1n + n Combine like terms: -1n + n = 0 -35 + -5n = 1 + 0 -35 + -5n = 1 Add '35' to each side of the equation. -35 + 35 + -5n = 1 + 35 Combine like terms: -35 + 35 = 0 0 + -5n = 1 + 35 -5n = 1 + 35 Combine like terms: 1 + 35 = 36 -5n = 36 Divide each side by '-5'. n = -7.2 Simplifying n = -7.2
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