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Simplifying -4(2n + 2) + 1 = 11 + -5n Reorder the terms: -4(2 + 2n) + 1 = 11 + -5n (2 * -4 + 2n * -4) + 1 = 11 + -5n (-8 + -8n) + 1 = 11 + -5n Reorder the terms: -8 + 1 + -8n = 11 + -5n Combine like terms: -8 + 1 = -7 -7 + -8n = 11 + -5n Solving -7 + -8n = 11 + -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. -7 + -8n + 5n = 11 + -5n + 5n Combine like terms: -8n + 5n = -3n -7 + -3n = 11 + -5n + 5n Combine like terms: -5n + 5n = 0 -7 + -3n = 11 + 0 -7 + -3n = 11 Add '7' to each side of the equation. -7 + 7 + -3n = 11 + 7 Combine like terms: -7 + 7 = 0 0 + -3n = 11 + 7 -3n = 11 + 7 Combine like terms: 11 + 7 = 18 -3n = 18 Divide each side by '-3'. n = -6 Simplifying n = -6
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