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Simplifying -30 + -8n = -7(n + 5) Reorder the terms: -30 + -8n = -7(5 + n) -30 + -8n = (5 * -7 + n * -7) -30 + -8n = (-35 + -7n) Solving -30 + -8n = -35 + -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. -30 + -8n + 7n = -35 + -7n + 7n Combine like terms: -8n + 7n = -1n -30 + -1n = -35 + -7n + 7n Combine like terms: -7n + 7n = 0 -30 + -1n = -35 + 0 -30 + -1n = -35 Add '30' to each side of the equation. -30 + 30 + -1n = -35 + 30 Combine like terms: -30 + 30 = 0 0 + -1n = -35 + 30 -1n = -35 + 30 Combine like terms: -35 + 30 = -5 -1n = -5 Divide each side by '-1'. n = 5 Simplifying n = 5
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