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Simplifying -99 = 1 + -5(3n + 5) Reorder the terms: -99 = 1 + -5(5 + 3n) -99 = 1 + (5 * -5 + 3n * -5) -99 = 1 + (-25 + -15n) Combine like terms: 1 + -25 = -24 -99 = -24 + -15n Solving -99 = -24 + -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. -99 + 15n = -24 + -15n + 15n Combine like terms: -15n + 15n = 0 -99 + 15n = -24 + 0 -99 + 15n = -24 Add '99' to each side of the equation. -99 + 99 + 15n = -24 + 99 Combine like terms: -99 + 99 = 0 0 + 15n = -24 + 99 15n = -24 + 99 Combine like terms: -24 + 99 = 75 15n = 75 Divide each side by '15'. n = 5 Simplifying n = 5
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