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Simplifying -26 = 1 + 3(5n + 6) Reorder the terms: -26 = 1 + 3(6 + 5n) -26 = 1 + (6 * 3 + 5n * 3) -26 = 1 + (18 + 15n) Combine like terms: 1 + 18 = 19 -26 = 19 + 15n Solving -26 = 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. -26 + -15n = 19 + 15n + -15n Combine like terms: 15n + -15n = 0 -26 + -15n = 19 + 0 -26 + -15n = 19 Add '26' to each side of the equation. -26 + 26 + -15n = 19 + 26 Combine like terms: -26 + 26 = 0 0 + -15n = 19 + 26 -15n = 19 + 26 Combine like terms: 19 + 26 = 45 -15n = 45 Divide each side by '-15'. n = -3 Simplifying n = -3
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