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Simplifying -3 + -1(n + -2) = 7n + 15 Reorder the terms: -3 + -1(-2 + n) = 7n + 15 -3 + (-2 * -1 + n * -1) = 7n + 15 -3 + (2 + -1n) = 7n + 15 Combine like terms: -3 + 2 = -1 -1 + -1n = 7n + 15 Reorder the terms: -1 + -1n = 15 + 7n Solving -1 + -1n = 15 + 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. -1 + -1n + -7n = 15 + 7n + -7n Combine like terms: -1n + -7n = -8n -1 + -8n = 15 + 7n + -7n Combine like terms: 7n + -7n = 0 -1 + -8n = 15 + 0 -1 + -8n = 15 Add '1' to each side of the equation. -1 + 1 + -8n = 15 + 1 Combine like terms: -1 + 1 = 0 0 + -8n = 15 + 1 -8n = 15 + 1 Combine like terms: 15 + 1 = 16 -8n = 16 Divide each side by '-8'. n = -2 Simplifying n = -2
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