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Simplifying -6n + -35 = 7(8 + -5n) + -4 Reorder the terms: -35 + -6n = 7(8 + -5n) + -4 -35 + -6n = (8 * 7 + -5n * 7) + -4 -35 + -6n = (56 + -35n) + -4 Reorder the terms: -35 + -6n = 56 + -4 + -35n Combine like terms: 56 + -4 = 52 -35 + -6n = 52 + -35n Solving -35 + -6n = 52 + -35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '35n' to each side of the equation. -35 + -6n + 35n = 52 + -35n + 35n Combine like terms: -6n + 35n = 29n -35 + 29n = 52 + -35n + 35n Combine like terms: -35n + 35n = 0 -35 + 29n = 52 + 0 -35 + 29n = 52 Add '35' to each side of the equation. -35 + 35 + 29n = 52 + 35 Combine like terms: -35 + 35 = 0 0 + 29n = 52 + 35 29n = 52 + 35 Combine like terms: 52 + 35 = 87 29n = 87 Divide each side by '29'. n = 3 Simplifying n = 3
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