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Simplifying -115 = -6(3n + 2) + 5 Reorder the terms: -115 = -6(2 + 3n) + 5 -115 = (2 * -6 + 3n * -6) + 5 -115 = (-12 + -18n) + 5 Reorder the terms: -115 = -12 + 5 + -18n Combine like terms: -12 + 5 = -7 -115 = -7 + -18n Solving -115 = -7 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. -115 + 18n = -7 + -18n + 18n Combine like terms: -18n + 18n = 0 -115 + 18n = -7 + 0 -115 + 18n = -7 Add '115' to each side of the equation. -115 + 115 + 18n = -7 + 115 Combine like terms: -115 + 115 = 0 0 + 18n = -7 + 115 18n = -7 + 115 Combine like terms: -7 + 115 = 108 18n = 108 Divide each side by '18'. n = 6 Simplifying n = 6
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