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Simplifying -4(n + n + 2) + 13 = (-1(n + 1)) * 7 Reorder the terms: -4(2 + n + n) + 13 = (-1(n + 1)) * 7 Combine like terms: n + n = 2n -4(2 + 2n) + 13 = (-1(n + 1)) * 7 (2 * -4 + 2n * -4) + 13 = (-1(n + 1)) * 7 (-8 + -8n) + 13 = (-1(n + 1)) * 7 Reorder the terms: -8 + 13 + -8n = (-1(n + 1)) * 7 Combine like terms: -8 + 13 = 5 5 + -8n = (-1(n + 1)) * 7 Reorder the terms: 5 + -8n = (-1(1 + n)) * 7 5 + -8n = ((1 * -1 + n * -1)) * 7 5 + -8n = ((-1 + -1n)) * 7 Reorder the terms for easier multiplication: 5 + -8n = 7(-1 + -1n) 5 + -8n = (-1 * 7 + -1n * 7) 5 + -8n = (-7 + -7n) Solving 5 + -8n = -7 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 5 + -8n + 7n = -7 + -7n + 7n Combine like terms: -8n + 7n = -1n 5 + -1n = -7 + -7n + 7n Combine like terms: -7n + 7n = 0 5 + -1n = -7 + 0 5 + -1n = -7 Add '-5' to each side of the equation. 5 + -5 + -1n = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -1n = -7 + -5 -1n = -7 + -5 Combine like terms: -7 + -5 = -12 -1n = -12 Divide each side by '-1'. n = 12 Simplifying n = 12
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