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Simplifying -3(-5n + 1) = 3(6n + -8) Reorder the terms: -3(1 + -5n) = 3(6n + -8) (1 * -3 + -5n * -3) = 3(6n + -8) (-3 + 15n) = 3(6n + -8) Reorder the terms: -3 + 15n = 3(-8 + 6n) -3 + 15n = (-8 * 3 + 6n * 3) -3 + 15n = (-24 + 18n) Solving -3 + 15n = -24 + 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. -3 + 15n + -18n = -24 + 18n + -18n Combine like terms: 15n + -18n = -3n -3 + -3n = -24 + 18n + -18n Combine like terms: 18n + -18n = 0 -3 + -3n = -24 + 0 -3 + -3n = -24 Add '3' to each side of the equation. -3 + 3 + -3n = -24 + 3 Combine like terms: -3 + 3 = 0 0 + -3n = -24 + 3 -3n = -24 + 3 Combine like terms: -24 + 3 = -21 -3n = -21 Divide each side by '-3'. n = 7 Simplifying n = 7
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