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Simplifying -100 = 5(3n + 1) Reorder the terms: -100 = 5(1 + 3n) -100 = (1 * 5 + 3n * 5) -100 = (5 + 15n) Solving -100 = 5 + 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. -100 + -15n = 5 + 15n + -15n Combine like terms: 15n + -15n = 0 -100 + -15n = 5 + 0 -100 + -15n = 5 Add '100' to each side of the equation. -100 + 100 + -15n = 5 + 100 Combine like terms: -100 + 100 = 0 0 + -15n = 5 + 100 -15n = 5 + 100 Combine like terms: 5 + 100 = 105 -15n = 105 Divide each side by '-15'. n = -7 Simplifying n = -7
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