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Simplifying -8n + -19 = -7(2n + -4) + 1 Reorder the terms: -19 + -8n = -7(2n + -4) + 1 Reorder the terms: -19 + -8n = -7(-4 + 2n) + 1 -19 + -8n = (-4 * -7 + 2n * -7) + 1 -19 + -8n = (28 + -14n) + 1 Reorder the terms: -19 + -8n = 28 + 1 + -14n Combine like terms: 28 + 1 = 29 -19 + -8n = 29 + -14n Solving -19 + -8n = 29 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. -19 + -8n + 14n = 29 + -14n + 14n Combine like terms: -8n + 14n = 6n -19 + 6n = 29 + -14n + 14n Combine like terms: -14n + 14n = 0 -19 + 6n = 29 + 0 -19 + 6n = 29 Add '19' to each side of the equation. -19 + 19 + 6n = 29 + 19 Combine like terms: -19 + 19 = 0 0 + 6n = 29 + 19 6n = 29 + 19 Combine like terms: 29 + 19 = 48 6n = 48 Divide each side by '6'. n = 8 Simplifying n = 8
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