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Simplifying -35 + -6n = -5(3n + -3) + 4 Reorder the terms: -35 + -6n = -5(-3 + 3n) + 4 -35 + -6n = (-3 * -5 + 3n * -5) + 4 -35 + -6n = (15 + -15n) + 4 Reorder the terms: -35 + -6n = 15 + 4 + -15n Combine like terms: 15 + 4 = 19 -35 + -6n = 19 + -15n Solving -35 + -6n = 19 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. -35 + -6n + 15n = 19 + -15n + 15n Combine like terms: -6n + 15n = 9n -35 + 9n = 19 + -15n + 15n Combine like terms: -15n + 15n = 0 -35 + 9n = 19 + 0 -35 + 9n = 19 Add '35' to each side of the equation. -35 + 35 + 9n = 19 + 35 Combine like terms: -35 + 35 = 0 0 + 9n = 19 + 35 9n = 19 + 35 Combine like terms: 19 + 35 = 54 9n = 54 Divide each side by '9'. n = 6 Simplifying n = 6
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