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Simplifying -75 = 5(7n + 6) Reorder the terms: -75 = 5(6 + 7n) -75 = (6 * 5 + 7n * 5) -75 = (30 + 35n) Solving -75 = 30 + 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. -75 + -35n = 30 + 35n + -35n Combine like terms: 35n + -35n = 0 -75 + -35n = 30 + 0 -75 + -35n = 30 Add '75' to each side of the equation. -75 + 75 + -35n = 30 + 75 Combine like terms: -75 + 75 = 0 0 + -35n = 30 + 75 -35n = 30 + 75 Combine like terms: 30 + 75 = 105 -35n = 105 Divide each side by '-35'. n = -3 Simplifying n = -3
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