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Simplifying -162 = -7 + 5(-7n + 4) Reorder the terms: -162 = -7 + 5(4 + -7n) -162 = -7 + (4 * 5 + -7n * 5) -162 = -7 + (20 + -35n) Combine like terms: -7 + 20 = 13 -162 = 13 + -35n Solving -162 = 13 + -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. -162 + 35n = 13 + -35n + 35n Combine like terms: -35n + 35n = 0 -162 + 35n = 13 + 0 -162 + 35n = 13 Add '162' to each side of the equation. -162 + 162 + 35n = 13 + 162 Combine like terms: -162 + 162 = 0 0 + 35n = 13 + 162 35n = 13 + 162 Combine like terms: 13 + 162 = 175 35n = 175 Divide each side by '35'. n = 5 Simplifying n = 5
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