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Simplifying -5(3n + 1) = 35 Reorder the terms: -5(1 + 3n) = 35 (1 * -5 + 3n * -5) = 35 (-5 + -15n) = 35 Solving -5 + -15n = 35 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -15n = 35 + 5 Combine like terms: -5 + 5 = 0 0 + -15n = 35 + 5 -15n = 35 + 5 Combine like terms: 35 + 5 = 40 -15n = 40 Divide each side by '-15'. n = -2.666666667 Simplifying n = -2.666666667
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