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Simplifying 3(-6 + -3n) + 5n = -2(-8n + -1) (-6 * 3 + -3n * 3) + 5n = -2(-8n + -1) (-18 + -9n) + 5n = -2(-8n + -1) Combine like terms: -9n + 5n = -4n -18 + -4n = -2(-8n + -1) Reorder the terms: -18 + -4n = -2(-1 + -8n) -18 + -4n = (-1 * -2 + -8n * -2) -18 + -4n = (2 + 16n) Solving -18 + -4n = 2 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. -18 + -4n + -16n = 2 + 16n + -16n Combine like terms: -4n + -16n = -20n -18 + -20n = 2 + 16n + -16n Combine like terms: 16n + -16n = 0 -18 + -20n = 2 + 0 -18 + -20n = 2 Add '18' to each side of the equation. -18 + 18 + -20n = 2 + 18 Combine like terms: -18 + 18 = 0 0 + -20n = 2 + 18 -20n = 2 + 18 Combine like terms: 2 + 18 = 20 -20n = 20 Divide each side by '-20'. n = -1 Simplifying n = -1
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