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Simplifying -8n + -35 = -7(n + 4) Reorder the terms: -35 + -8n = -7(n + 4) Reorder the terms: -35 + -8n = -7(4 + n) -35 + -8n = (4 * -7 + n * -7) -35 + -8n = (-28 + -7n) Solving -35 + -8n = -28 + -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. -35 + -8n + 7n = -28 + -7n + 7n Combine like terms: -8n + 7n = -1n -35 + -1n = -28 + -7n + 7n Combine like terms: -7n + 7n = 0 -35 + -1n = -28 + 0 -35 + -1n = -28 Add '35' to each side of the equation. -35 + 35 + -1n = -28 + 35 Combine like terms: -35 + 35 = 0 0 + -1n = -28 + 35 -1n = -28 + 35 Combine like terms: -28 + 35 = 7 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7
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