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Simplifying 2 + -8(-1n + 3) = (-8n + -5) + -5 Reorder the terms: 2 + -8(3 + -1n) = (-8n + -5) + -5 2 + (3 * -8 + -1n * -8) = (-8n + -5) + -5 2 + (-24 + 8n) = (-8n + -5) + -5 Combine like terms: 2 + -24 = -22 -22 + 8n = (-8n + -5) + -5 Reorder the terms: -22 + 8n = (-5 + -8n) + -5 Remove parenthesis around (-5 + -8n) -22 + 8n = -5 + -8n + -5 Reorder the terms: -22 + 8n = -5 + -5 + -8n Combine like terms: -5 + -5 = -10 -22 + 8n = -10 + -8n Solving -22 + 8n = -10 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. -22 + 8n + 8n = -10 + -8n + 8n Combine like terms: 8n + 8n = 16n -22 + 16n = -10 + -8n + 8n Combine like terms: -8n + 8n = 0 -22 + 16n = -10 + 0 -22 + 16n = -10 Add '22' to each side of the equation. -22 + 22 + 16n = -10 + 22 Combine like terms: -22 + 22 = 0 0 + 16n = -10 + 22 16n = -10 + 22 Combine like terms: -10 + 22 = 12 16n = 12 Divide each side by '16'. n = 0.75 Simplifying n = 0.75
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