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Simplifying -19 + 8n = 2(n + -7) + 7n Reorder the terms: -19 + 8n = 2(-7 + n) + 7n -19 + 8n = (-7 * 2 + n * 2) + 7n -19 + 8n = (-14 + 2n) + 7n Combine like terms: 2n + 7n = 9n -19 + 8n = -14 + 9n Solving -19 + 8n = -14 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. -19 + 8n + -9n = -14 + 9n + -9n Combine like terms: 8n + -9n = -1n -19 + -1n = -14 + 9n + -9n Combine like terms: 9n + -9n = 0 -19 + -1n = -14 + 0 -19 + -1n = -14 Add '19' to each side of the equation. -19 + 19 + -1n = -14 + 19 Combine like terms: -19 + 19 = 0 0 + -1n = -14 + 19 -1n = -14 + 19 Combine like terms: -14 + 19 = 5 -1n = 5 Divide each side by '-1'. n = -5 Simplifying n = -5
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