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Simplifying -5(1 + -1n) = -3(8 + -6n) + 6 (1 * -5 + -1n * -5) = -3(8 + -6n) + 6 (-5 + 5n) = -3(8 + -6n) + 6 -5 + 5n = (8 * -3 + -6n * -3) + 6 -5 + 5n = (-24 + 18n) + 6 Reorder the terms: -5 + 5n = -24 + 6 + 18n Combine like terms: -24 + 6 = -18 -5 + 5n = -18 + 18n Solving -5 + 5n = -18 + 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. -5 + 5n + -18n = -18 + 18n + -18n Combine like terms: 5n + -18n = -13n -5 + -13n = -18 + 18n + -18n Combine like terms: 18n + -18n = 0 -5 + -13n = -18 + 0 -5 + -13n = -18 Add '5' to each side of the equation. -5 + 5 + -13n = -18 + 5 Combine like terms: -5 + 5 = 0 0 + -13n = -18 + 5 -13n = -18 + 5 Combine like terms: -18 + 5 = -13 -13n = -13 Divide each side by '-13'. n = 1 Simplifying n = 1
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