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Simplifying -7n + -5(3n + 1) = -159 Reorder the terms: -7n + -5(1 + 3n) = -159 -7n + (1 * -5 + 3n * -5) = -159 -7n + (-5 + -15n) = -159 Reorder the terms: -5 + -7n + -15n = -159 Combine like terms: -7n + -15n = -22n -5 + -22n = -159 Solving -5 + -22n = -159 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 + -22n = -159 + 5 Combine like terms: -5 + 5 = 0 0 + -22n = -159 + 5 -22n = -159 + 5 Combine like terms: -159 + 5 = -154 -22n = -154 Divide each side by '-22'. n = 7 Simplifying n = 7
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